Answer: 1.8
Step-by-step explanation:
Answer:
x = (-16)/43
Step-by-step explanation:
Solve for x:
(-5 x)/4 - 2 = -2 (6 x + 3)
Put each term in (-5 x)/4 - 2 over the common denominator 4: (-5 x)/4 - 2 = (-5 x)/4 - 8/4:
(-5 x)/4 - 8/4 = -2 (6 x + 3)
(-5 x)/4 - 8/4 = (-5 x - 8)/4:
(-5 x - 8)/4 = -2 (6 x + 3)
Multiply both sides by 4:
(4 (-5 x - 8))/4 = -2×4 (6 x + 3)
(4 (-5 x - 8))/4 = 4/4×(-5 x - 8) = -5 x - 8:
-5 x - 8 = -2×4 (6 x + 3)
4 (-2) = -8:
-5 x - 8 = -8 (6 x + 3)
Expand out terms of the right hand side:
-5 x - 8 = -48 x - 24
Add 48 x to both sides:
48 x - 5 x - 8 = (48 x - 48 x) - 24
48 x - 48 x = 0:
48 x - 5 x - 8 = -24
48 x - 5 x = 43 x:
43 x - 8 = -24
Add 8 to both sides:
43 x + (8 - 8) = 8 - 24
8 - 8 = 0:
43 x = 8 - 24
8 - 24 = -16:
43 x = -16
Divide both sides of 43 x = -16 by 43:
(43 x)/43 = (-16)/43
43/43 = 1:
Answer: x = (-16)/43
Convert to a fraction by placing the decimal number over a power of 10 answer is 7/20
Answer:
20
Step-by-step explanation:
Take 400 and divide it by 20
Answer:
(1,6)
Step-by-step explanation:
To solve by substitution, rearrange -x+y=5 to y=x+5 and substitute it into 4x+y=10.
4x + (x+5) = 10
4x+x+5=10
5x+5=10
5x=5
x=1
Now substitute x = 1 back in to find y.
y= (1) + 5
y=6
Solution is (1,6)
Verify substituting both values into each equation in to verify true.
-x+y=5
-(1)+6 = 5
-1+6=5
5=5 True
4(1)+6=10
4+6=10
10=10 True
