solve by the substitution method
9x + 5y = -25
x = 7 - 3y
Could someone help with steps here also?
9(7-3y)+5y=-25
63-27y+5y=-25
can you take if from here?
I get -5 I am missing a step please help and thank you
To solve this system of equations using the substitution method, follow these steps:
Step 1: Solve one of the equations for one variable in terms of the other variable.
In this case, we are given x = 7 - 3y in the second equation.
Step 2: Substitute the expression from Step 1 into the other equation.
Substitute x = 7 - 3y into the first equation: 9(7 - 3y) + 5y = -25.
Step 3: Simplify and solve for the remaining variable.
Expand and simplify the equation: 63 - 27y + 5y = -25.
Combine like terms: -22y + 63 = -25.
Move 63 to the right side of the equation: -22y = -88.
Divide both sides by -22: y = 4.
Step 4: Substitute the value of y back into one of the original equations to find the value of the other variable.
Using x = 7 - 3y, substitute y = 4: x = 7 - 3(4).
Simplify the equation: x = 7 - 12.
Combine like terms: x = -5.
Therefore, the solution to the system of equations is x = -5 and y = 4.