Use the substitution method to solve the given system of equations. Write your answer as an ordered pair, (x, y).
2 answers:
2x - 2y = -2
x - 4y = 5
In x -4y =5, add 4y to both sides to get x = 4y +5
Now substitute that equation for x in the first equation:
2x - 2y = -2
2(4y +5) - 2y = -2
Simplify:
8y +10 - 2y = -2
Combine like terms:
6y +10 = -2
Subtract 10 from both sides:
6y = -12
Divide both sides by 6:
y = -12 /6
y = -2
Now you have y, substitute y in the second equation to solve for x:
x - 4y = 5
x -4(-2) = 5
Simplify:
x+8 = 5
Subtract 8 from both sides:
x = -3
Now you have x = -3 and y = -2
The answer is (-3,-2)
Answer:
(-3, -2)
Step-by-step explanation:
Look at the second equation, we can easily rearrange it to make x the subject.
x - 4y = 5
x = 4y + 5
Now lets put that into the second equation
2x - 2y = -2
2(4y + 5) - 2y = -2
6y + 10 = -2
6y = -12
y = -2
Now lets find x!
x = 4y + 5
x = 4(-2) + 5
x = -3
Now lets format the answer like the question says (ordered pair)
(-3, -2)
Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.
You might be interested in
1. Collect like terms
(n-0.3n)+(4.5-3)
2. Simplify
0.7n + 1.5
Final Answer:
0.7n + 1.5
Answer:
20% off of $2800 = $2240
8.25% of $2240 = $184.80
$2240 + $184.80 = $2424.80
Step-by-step explanation:
Answer:
f(x)=60c * 24h
Step-by-step explanation:
Hope this helped!
Answer:
17 1/2 i think
Step-by-step explanation:
Answer:
a
Step-by-step explanation: