Question

Show all steps to solve the system of equations:
y = 2x + 3
2x + 4y = -8

Answer 1

Step 1
Consider the system of equations:
y=2x+3
2x+4y=-8
Rearranging the system of equations:
2x-y=-3 ...(1)
2x+4y=-8 ...(2)
Step 2
Using elimination method
2x-y=-3 ...(1)
2x+4y=-8 ...(2)
\(\displaystyle\frac{{--+}}{{-{5}{y}={5}}}\)
\(\displaystyle{y}=\frac{{5}}{{-{{5}}}}\)
y=-1
put the value of y in equation (1)
2x-y=-3
2x-(-1)=-3
2x+1=-3
2x=-4
x=-2
Step 3
Result:
x=-2, y=-1