To solve the system of equations, we can use the method of substitution or elimination. I will demonstrate solving it using the substitution method:
1) Solve one equation for one variable in terms of the other variable.
From the first equation, we can solve for x:
7x + 3y = -25
Move 3y to the other side:
7x = -25 - 3y
Divide by 7:
x = (-25 - 3y)/7
2) Substitute the value of x in the second equation.
-7((-25 - 3y)/7) + 9y = -47
Simplify:
-(-25 - 3y) + 9y = -47
25 + 3y + 9y = -47
Combine like terms:
25 + 12y = -47
3) Solve for y:
12y = -47 - 25
12y = -72
Divide by 12:
y = -6
4) Substitute the value of y back into either of the original equations to solve for x. Let's use the first equation:
7x + 3(-6) = -25
7x - 18 = -25
Add 18 to both sides:
7x = -25 + 18
7x = -7
Divide by 7:
x = -1
Thus, the solution to the system of equations is x = -1 and y = -6.
solve the system of equations
7x+3y=-25
-7x+9y=-47
1 answer