Answer:
addition property of equality
Step-by-step explanation:
Given the equation 4(x-5) = -12
Expand
4x - 20 = -12
Add 20 to both sides (addition property of equality)
4x-20+20 = -12+20
4x = 8
x = 8/4
x = 2
Hence the value of x is 2
The justification for step 2 is addition property of equality
<span>4x + 8 = −2 − 2 + 5x
5x - 4x = 8 + 4
x = 12
There's only one solution, x = 12</span>
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
x
=
5
y
−
35
Step-by-step explanation:
hope that helps
Brainliest if correct?
144.
distributive property distributed a number outside of a parenthesis inside, i.e. x(12•12).
considering there is no given parenthesis, the answer is simply 144.
