Q&A for How to Solve Two Step Algebraic Equations

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How do I solve x/5 - 8 = 7?

Community Answer

The goal is to get x on one side of the equation. So add 8 to both sides of the equation; x/5 - 8 + 8 = 7 + 8; x/5 = 15. Next, multiply both sides of the equation by 5. 5 (x/5) = 15 (5). x = 75.

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How would I solve 5x - 6 = 3(x-1)?

Donagan

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5x - 6 = 3x - 3. Subtract 3x from both sides: 2x - 6 = -3. Add 6 to both sides: 2x = 3, so x = 3/2.

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How do I solve (3x - 2y) squared?

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9x² -12xy+4y². It's figured this way: (3x)(3x) = 9x². (3x)(-2y) = -6xy, and (-2y)(3x) = -6xy; (-6xy) + (-6xy) = -12xy. (-2y)(-2y) = +4y².

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How do I solve 1/4x + 7 = -9?

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Multiply both sides by 4 to get rid of the fraction: x + 28 = -36. Subtract 28 from both sides: x = -64.

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How would I solve for f in the equation C = 5/9 (f - 32)?

Donagan

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f = [(9/5)C] + 32.

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How do I calculate x + y = 10 - y = 2?

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Start with 10 - y = 2. Adding y to both sides and subtracting 2 from both sides, we see that 8 = y. Then we insert that value of y into x + y = 2 and find that x = -6. Check by inserting those values of x and y into the full equation: -6 + 8 = 10 - 8 = 2.

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I don't know how to solve verbal problems like these. What should I do?

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Let a variable (such as x) stand for the number you're looking for. Set up an equation in x that expresses the conditions described in the problem, and solve the equation for x. It takes some practice to become good at setting up such an equation, because every problem is slightly different. Ask for help from someone who knows how to do it, and then keep practicing.

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Question

What if there is no operation in the answer?

Donagan

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That's fine. The answer does not have to have any operation.

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How do I solve 7x + 9 = 23?

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Subtract 9 from both sides of the equation, then divide both sides by 7.

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How do I solve 4x + 7 - 6 = 5 - 4x + 4?

Donagan

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First simplify both sides of the equation: 4x + 1 = 9 - 4x. Then add 4x to both sides and subtract 1 from both sides: 8x = 8. Then divide both sides by 8.

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How do I solve 17 - 3x = 2 without negative numbers?

Donagan

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Add 3x to both sides of the equation, and subtract 2 from both sides. That leaves you with 15 = 3x, so that x = 5.

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Question

How can I become good at these?

Community Answer

You should practice solving them every day. You can also ask a friend, teacher, or parent for help if you need assistance when you are getting started.

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How would I answer 2z - 4 - z = 4?

Donagan

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(2z - 4 - z) is the same as (z - 4). So z - 4 = 4. Add 4 to both sides of the equation, making z equal to 8.

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Question

How do I solve 20(h + 28) = 740?

Community Answer

First, multiply (h + 28) by 20, which gives you 20h + 560 = 740. Next, subtract both sides by 560; this gives you 20h = 180. Divide both sides by 20, and you'll get the answer: h = 9.

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How do I solve (k - 3) / 4 = 10?

Donagan

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Multiply both sides of the equation by 4: k - 3 = 40. Add 3 to both sides: k = 43.

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Question

How do I solve squared equations?

Community Answer

Suppose there is an equation x^2-x=2. Then,x^2-x-2=0.Now,x^2-x-2 can be represented as x^2+x-2x-2. So,if you factorize this expression, you get x(x+1)-2(x+1)=0.then, (x-2)(x+1)=0.so,x=1,-2.so,in general you factorize the Lhs after converting the rhs to 0.

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Question

How do I solve two step algebraic equations if the x is negative?

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If the variable is a negative, simply multiply by negative 1 to make it positive.

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How do I solve 9+m/3=2?

Community Answer

First you want to isolate the m. Multiply both sides by 3 and you get 9+m=6. Finally, subtract both sides by nine and you get m=-3.

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Question

If a + 9 / a = 3, how do I find the value of a^3?

Donagan

Top Answerer

(a + 9) / a = 3. Multiply both sides of the equation by a: a + 9 = 3a. Subtract a from both sides: 9 = 2a. Divide both sides by 2: 9/2 = a. a³ = (9/2)(9/2)(9/2) = 729 / 8 = 91 1/8.

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How do I solve for x. (244 +x)/(289+x)=.85?

Donagan

Top Answerer

Multiply both sides of the equation by (289 + x). Then you'll have to use the quadratic formula.

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4x+16=24 how to solve this equation?

Donagan

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4x + 16 = 24. Subtract 16 from both sides of the equation: 4x = 8. Divide both sides by 4: x = 2.

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How to solve for t: 1.75 t^2-10t -25 =0?

Donagan

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The easiest way is to use the quadratic formula.

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Question

How to find the value of - xcube +9x + 10 the value of x=-2?

Donagan

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If x= -2, x³ + 9x + 10 = (-2)³ + (9)(-2) + 10 = (-8) -18 +10 = -16.

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2x(squared) + 7 = 15?

Donagan

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2x² + 7 = 15. 2x² = 8. x² = 4. x = ± 2.

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63,000/0.12v. Solve for v.

Donagan

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Since that expression is not an equation, you can't solve for v.

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Question

-3 is greater than or equal to 4-3x?

Donagan

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We're solving for x. -3 ≥ 4 - 3x. Subtract 4 from both sides: -7 ≥ -3x. Divide both sides by -3: 7/3 ≥ x. Therefore, x can be any number equal to or less than 7/3.

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How do I solve x-5/-2=-7?

Donagan

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Multiply both sides of the equation by -2. Then x - 5 = 14, and x = 19.

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How do I solve a/5+2/5=4/5?

Donagan

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Subtract 2/5 from both sides of the equation. Then a/5 = 2/5. By inspection (or by cross-multiplication), a = 2.

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How do I solve a/3 + 7 = 13?

Donagan

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Subtract 7 from both sides. Then multiply both sides by 3. a = 18.

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How to solve 4a/7+5=0?

Donagan

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(4a / 7) + 5 = 0. Multiply both sides of the equation by 7: 4a + 35 = 0. Subtract 35 from both sides: 4a = -35. Divide both sides by 4: a = -35/4.

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