- Substitute the solution for x in the equation 2x + 5 = x-1. Then simplify to check your answer fromabove. Show your work.
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The two equations are
2x + 5
and
x - 1
If we graph both equations, the solution would be the point where both lines meet. The point can be determined by solving the equation
2x + 5 = x - 1
2x - x = - 1 - 5
x = - 6
We would substitute x = - 6 into any of the expressions
y = 2x + 5 = 2 * - 6 + 5
y = - 12 + 5
y = - 7
If we substitute x = - 6 into y = x - 1, it becomes
y = - 6 - 1
y = - 7
The value of y at the point of intersection is - 7
The solution is (- 6, - 7)