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3 votes
Subtract the equations.
7x + 2y = 17
(3x +2y = 3)

User Eskaev
by
7.7k points

2 Answers

7 votes

Final answer:

To subtract the equations, eliminate one variable by multiplying the second equation by -1 and adding it to the first equation. Solve for the remaining variable. The solution to the system of equations is x = 3.5 and y = -5.5.

Step-by-step explanation:

To subtract the equations, you need to eliminate one variable so that you can solve for the remaining variable. In this case, you can eliminate the variable y by multiplying the second equation by -1 and adding it to the first equation.

Multiply the second equation by -1: (-1)(3x + 2y) = (-1)(3)

-3x - 2y = -3

Add this new equation to the first equation:

7x + 2y + (-3x - 2y) = 17 + (-3)

Combine like terms: 7x - 3x + 2y - 2y = 17 - 3

Simplify: 4x = 14

Divide both sides by 4 to solve for x: (4x)/4 = 14/4

x = 3.5

Now substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

7(3.5) + 2y = 17

28 + 2y = 17

Subtract 28 from both sides: 2y = 17 - 28

Simplify: 2y = -11

Divide both sides by 2 to solve for y: (2y)/2 = (-11)/2

y = -5.5

Therefore, the solution to the system of equations is x = 3.5 and y = -5.5.

User Micahtan
by
7.4k points
4 votes

Answer:

14

Step-by-step explanation:

User Aswin Rajendiran
by
8.4k points

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