Create a system of linear equations that has one solution. Solve the system using substitution to prove your that your system has only one solution.

The only solution to the system of equation is (4, 11)

Let the given linear equation be given as shown:

y = 2x  + 3 and y = 4x - 5

Equate both expressions since they are both "y" values

2x + 3 = 4x  - 5

Collect the like terms

2x - 4x = -5- 3

-2x = -8

x = 8/2

x = 4

Substitute x = 4 into any of the equation

y = 2x + 3

y = 2(4) + 3

y = 11

This shows that the only solution to the system of equation is (4, 11)

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y = -2x + 3

y = -1/2x + 5

Step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer