Find the.....

Question

Solve the system of equations: state the solution. Show the checks. y=4x-3 and y=-2/3x+4

Answer 1

Alexandra, if y equals two different things, then they must equal each other, right?

 

4x - 3 = -2/3x + 4

4 2/3x = 7

14/3x = 7

x = 21/14 = 3/2

 

y = 4(3/2) - 3 = 6 - 3 = 3

 

Let's check.

 

3 = 4(3/2) - 3

3 = 12/2 - 3

3 = 6 - 3

3 = 3

 

3 = -2/3(3/2) + 4

3 = -1 + 4

3 = 3

 

Hope this helps!