7/22 you add the denominators toghether and add the numerators.
Answer: 40
Step-by-step explanation:
Answer: x = 5/2 = 2.5
Step-by-step explanation:
<u>Given expression</u>
2x (x + 3) = 2x² + 15
<u>Expand parentheses and apply the distributive property</u>
2x · x + 2x · 3 = 2x² + 15
2x² + 6x = 2x² + 15
<u>Subtract 2x² on both sides</u>
2x² + 6x - 2x² = 2x² + 15 - 2x²
6x = 15
<u>Divide 6 on both sides</u>
6x / 6 = 15 / 6
x = 15/6
Hope this helps!! :)
Please let me know if you have any questions
You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable. You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation. If the x coefficient is 2, then you have to multiply the entire other equation by -2. If the y coefficient is -5, then you have to multiply the entire other equation by 5.
10)
-4x + 9y= 9
x - 3y= -6
STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24
STEP 2:
add the top equation and the equation from step 2
-4x + 9y= 9
4x - 12y= -24
the x term cancels out
-3y= 15
divide both sides by -3
y= -5
STEP 2:
substitute the y value in either original equation to solve for x
x - 3y= -6
x - 3(-5)= -6
x + 15= -6
subtract 15 from both sides
x= -21
ANSWER: x= -21; y= -5
____________________
12)
-7x + y= -19
-2x + 3y= -19
STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x
-3(-7x + y)= -3(-19)
21x - 3y= 57
STEP 2:
add the bottom equation and the equation from step 2 to solve for x
-2x + 3y= -19
21x - 3y= 57
the y term cancels out
19x= 38
divide both sides by 19
x= 2
STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation
-7x + y= -19
-7(2) + y= -19
-14 + y= -19
add 14 to both sides
y= -5
ANSWER: x= 2; y=-5
Hope this helps! :)
Put a dot on the -3 from the y-axis and draw a straight line from left to right.
