Answer:
Step-by-step explanation:
Subtract 2x
from both sides of the equation.
y=8−2x
x−y=2
Replace all occurrences of y
in x−y=2 with 8−2x
.
y=8−2x
x−(8−2x)=2
Simplify the left side.
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y=8−2x
3x−8=2
Solve for x
in the second equation.
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y=8−2x
x=103
Replace all occurrences of x
in y=8−2x with 103
.
y=8−2(103)
x=103
Simplify 8−2(103)
.
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y=43
x=103
The solution to the system of equations can be represented as a point.
(103,43)
Answer:
2.25 is the correct answer for -36/-16
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Answer:
m=10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7(2m−6)+21=−77
(−7)(2m)+(−7)(−6)+21=−77(Distribute)
−14m+42+21=−77
(−14m)+(42+21)=−77(Combine Like Terms)
−14m+63=−77
−14m+63=−77
Step 2: Subtract 63 from both sides.
−14m+63−63=−77−63
−14m=−140
Step 3: Divide both sides by -14.
-14m/-14=-140/-14
m=10
Answer:
After 5 hours the two would charge the same amount of money.
Step-by-step explanation:
Designer A: $450 + ($105/hr)x, where x is the number of hours worked;
Designer B: $725 + ($50/hr)x
Equating these two formulas, we get:
$450 + ($105/hr)x = $725 + ($50/hr)x
Subtracting $450 from both sides: ($55/hr)x = $275
Dividing both sides by $55 yields the number of hours worked:
x = $275/$55 = 5
After 5 hours the two would charge the same amount of money.
