You want to isolate one of the variables (x or y) so you can plug it into the other equation. The easiest one is isolating the 2nd equation.
3x² - 16x + 13 - y = 0 Add y on both sides
3x² - 16x + 13 = y
You can use this and plug it into the first equation
y - 12x + 15 = 3x²
(3x² - 16x + 13) - 12x + 15 = 3x²
3x² - 16x + 13 - 12x + 15 = 3x² Combine like terms
3x² - 28x + 28 = 3x² Subtract 3x² on both sides
-28x + 28 = 0 Add 28x on both sides
28 = 28x Divide 28 on both sides
1 = x
Now that you know x, you can plug it into either of the equation to find y
3(1)² - 16(1) + 13 - y = 0
3 - 16 + 13 - y = 0
-y = 0 Divide -1 on both sides
y = 0
x = 1, y = 0
Kris' gross pay is $689.50.
The gross pay is the total income she receives from her work before any deductions. If she is paid biweekly, it means she is paid every two weeks.
Gross pay = (per per hour x total hours worked x 2)
= (9.85 x 35 x 2)
= $689.50
and the length is
Answer:
width=6cm, lenth is 7cm
Step-by-step explanation:
Let width of rectangle be x cm
Twice width=2x cm
length=2x-5 cm
Area of the rectangle= L× W =42cm²
(2x-5) × x =42
x(2x-5)=42
2x²-5x-42=0
solving the quadratic equation
x=6cm
width=6cm
length= (2×6)- 5 =7cm
Answer:
E
Step-by-step explanation:
Since l and m are parallel lines, then
5x - 16 = 2x + 50 ( corresponding angles )
Subtract 2x from both sides
3x - 16 = 50 ( add 16 to both sides )
3x = 66 ( divide both sides by 3 )
x = 22 → E