Answer:
x = 2
Step-by-step explanation:
3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides
3x - 3 = 23 - 5x - 10
3x - 3 = 13 - 5x ( add 5x to both sides )
8x - 3 = 13 ( add 3 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Y = -x² + 3x - 1
x = 2y - 1
x = 2(-x² + 3x - 1) - 1
x = 2(-x²) + 2(3x) + 2(-1) - 1
x = -2x² + 6x - 2 - 1
x = -2x² + 6x - 3
<u>- x - x </u>
0 = -2x² + 5x - 3
x = <u>-(5) +/- √((5)² - 4(-2)(-3))</u>
2(-2)
x = <u>-5 +/- √(25 - 24)</u>
-4
x = <u>-5 +/- √(1)
</u> -4
x = <u>-5 +/- 1</u>
-4
x = <u>-5 + 1</u> or x = <u>-5 - 1</u>
-4 -4
x = <u>-4</u> x = <u>-6</u>
-4 -4
x = 1 x = 1.5
2y - 1 = x
2y - 1 = 1
<u> + 1 + 1</u>
<u>2y</u> = <u>2</u>
2 2
y = 1
(x, y) = (1, 1)
or
2y - 1 = x
2y - 1 = 1.5
<u> + 1 + 1 </u>
<u>2y</u> = <u>2.5</u>
2 2
y = 1.25
(x, y) = (1.5, 1.25)
The two solutions is equal to (1, 1) and (1.5, 1.25).
<u />
Expand brackets first which would be 13 + - 12 - - 5*. So this would be 13- 12 + 5 = 6
*+5 because 2 negatives make a positive