Question

What is the solution (x, y) to the system of equations shown?

2y + x = −17
5x − 4y = −15

A) (−7, −5)
B) (−4, −1)
C) (−3, 0)
D) (5, −11)

Answer 1

To solve the system of equations, we can substitute the expression for x from the first equation into the second equation and solve for y. Then, substitute the value of y into the first equation to solve for x. The solution is (x, y) = (-7, -5).

Step-by-step explanation:

To find the solution (x, y) to the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

1. From the first equation, we can isolate x by subtracting 2y from both sides: x = -17 - 2y.
2. Substitute this expression for x in the second equation: 5(-17 - 2y) - 4y = -15.
3. Simplify and solve for y: -85 - 10y - 4y = -15. Combine like terms: -14y = 70. Divide both sides by -14 to solve for y: y = -5.
4. Substitute the value of y into the first equation to solve for x: 2(-5) + x = -17. Simplify: -10 + x = -17. Add 10 to both sides: x = -7.

Therefore, the solution to the system of equations is (x, y) = (-7, -5).

Answer 2

A

Step-by-step explanation:

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