6x + 2y = -2
4x + y = 1
Multiply the second equation by 2.
8x + 2y = 2
6x + 2y = -2
Subtract bottom equation from top.
2x = 4
Take it from there.
Solve the system using substitution method.
4x + 6y =15
-x + 2y = 5
To solve the system of equations:
6x + 2y = -2 .....(equation 1)
4x + y = 1 .....(equation 2)
We can use the method of substitution or the method of elimination. Let's use the method of substitution.
Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve equation 2 for y in terms of x:
4x + y = 1
y = 1 - 4x .....(equation 3)
Step 2: Substitute the value of y from equation 3 into equation 1:
6x + 2(1 - 4x) = -2
Simplify the equation:
6x + 2 - 8x = -2
-2x + 2 = -2
Step 3: Solve for x:
-2x = -2 - 2
-2x = -4
x = -4 / -2
x = 2
Step 4: Substitute the value of x into equation 3 to find y:
y = 1 - 4(2)
y = 1 - 8
y = -7
Therefore, the solution to the system of equations is x = 2 and y = -7.