What is the solution to the system of equations below?
1 answer:
Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
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Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
Answer:
Step-by-step explanation:
Let's solve:
Step 1: Simplify both sides of the equation.
Step 2: Add 3x to both sides.
Step 3: Subtract 4 from both sides.
Step 4: Divide both sides by -1.
Therefore, the answer will be x = 4.