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5 votes
What is the sum?
2x+3y=-3 and x+2y=2

a) -12
b) 7
c) -5
d) 0 ​

User Seduardo
by
8.1k points

1 Answer

2 votes

Final answer:

The sum of the given equations 2x + 3y = -3 and x + 2y = 2 is -5. So the correct answer is option C.

Step-by-step explanation:

To find the sum of the given equations, we need to solve the system of equations.

First, let's solve equation 2x + 3y = -3 for x:

2x = -3 - 3y

x = (-3 - 3y) / 2

Now, substitute this value of x into the second equation x + 2y = 2:

((-3 - 3y) / 2) + 2y = 2

Multiply both sides by 2 to eliminate the fraction:

-3 - 3y + 4y = 4

Simplify the equation:

y = 7

Substitute this value of y back into the first equation to find the value of x:

2x + 3(7) = -3

2x + 21 = -3

2x = -24

x = -12

Therefore, the sum of the given equations is -12 + 7 = -5.

User Yktoo
by
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