Question

Mar 21, 7:27:36 PM Find the solution of the system of equations. 7x+7y=-49 7x-2y=5 Submit Answer

Answer 1

To solve the system of equations, multiply the second equation by 7 to eliminate x. Then, subtract the equations and divide to isolate x. Substitute the value of x into one of the original equations to find y. The solution is x = 2 and y = -9.

Step-by-step explanation:

To solve the system of equations:

7x + 7y = -49

7x - 2y = 5

1. Start by multiplying the second equation by 7 to eliminate x:

• 7(7x - 2y) = 7(5)
• 49x - 14y = 35

Now, subtract the two equations:

• (7x + 7y) - (49x - 14y) = -49 - 35
• -42x + 21y = -84

Divide the equation by -3:

• -42x/(-3) + 21y/(-3) = -84/(-3)
• 14x - 7y = 28

Now we have two equations:

• 14x - 7y = 28
• -42x + 21y = -84

Add the two equations:

• (14x - 7y) + (-42x + 21y) = 28 + (-84)
• -28x = -56

Divide by -28:

• x = 2

Now substitute the value of x into one of the original equations:

• 7(2) + 7y = -49
• 14 + 7y = -49
• 7y = -63
• y = -9

The solution to the system of equations is x = 2 and y = -9.