solve. using subsitution
-7x-2y=-13
x-2y=11
From the second equation, we can solve for x in terms of y:
x = 2y + 11
Now we substitute this value of x into the first equation:
-7(2y + 11) - 2y = -13
Simplifying, we get:
-14y - 77 - 2y = -13
-16y - 77 = -13
-16y = 64
y = -4
Now we substitute the value of y back into the second equation to find x:
x - 2(-4) = 11
x + 8 = 11
x = 3
So the solution to the system of equations is x = 3 and y = -4.
To solve this system of equations using the substitution method, we need to solve one equation for one variable and then substitute this expression into the other equation.
Let's solve the second equation for x:
x - 2y = 11
Adding 2y to both sides of the equation, we get:
x = 11 + 2y
Now, substitute this expression for x into the first equation:
-7x - 2y = -13
Replacing x with 11 + 2y, we have:
-7(11 + 2y) - 2y = -13
Now, let's simplify and solve for y:
-77 - 14y - 2y = -13
Combine like terms:
-77 - 16y = -13
Add 77 to both sides:
-16y = 64
Divide both sides by -16:
y = 64/-16
Simplifying further, we have:
y = -4
Now, substitute y = -4 into the second equation to find x:
x - 2(-4) = 11
Simplifying:
x + 8 = 11
Subtract 8 from both sides:
x = 3
So the solution to the system of equations is x = 3 and y = -4.
To solve this system of equations using substitution, we need to solve one of the equations for one variable and substitute it into the other equation. Let's solve the second equation for x:
x - 2y = 11
Add 2y to both sides:
x = 11 + 2y
Now we substitute this expression of x into the first equation:
-7x - 2y = -13
Replace x with 11 + 2y:
-7(11 + 2y) - 2y = -13
Distribute -7 to both terms inside the parenthesis:
-77 - 14y - 2y = -13
Combine like terms:
-77 - 16y = -13
Add 77 to both sides:
-16y = 64
Divide both sides by -16:
y = -4
Now we substitute the value of y back into the second equation to find x:
x - 2y = 11
Replace y with -4:
x - 2(-4) = 11
Simplify:
x + 8 = 11
Subtract 8 from both sides:
x = 3
The solution to the system of equations is x = 3 and y = -4.