find x and y values that make both y=−23x+3 and y=2x−5 true.
To find the x and y values that make both equations true, we can set the two equations equal to each other:
−23x + 3 = 2x − 5
Now we can solve for x:
−23x − 2x = −5 − 3
−25x = −8
x = (-8)/(-25)
x = 8/25
Now that we have the value of x, we can substitute it back into either of the original equations to find the corresponding y value. Let's use the first equation:
y = −23(8/25) + 3
y = -184/25 + 3
y = -184/25 + 75/25
y = -109/25
Therefore, when x = 8/25, the values that make both equations true are:
x = 8/25
y = -109/25