Question

Solve the following equations by graphing. Give your answer to the nearest tenth.

Answer 1

Remember that

when solving a system of equations by graphing, the solution is the intersection of both graphs

so

Part A

we have

3(2^x)=6x-7

that is the same that

y=3(2^x)

y=6x-7

The solution is the x-coordinate of the intersection point in both graphs

using a graphing tool

There are no intersection points

that means

The system has no solution

Part B

we have

10x+5=-x+8

y=10x+5

y=-x+8

The solution is the x-coordinate of the intersection point in both graphs

using a graphing tool

The solution is x=0.27