The system of equations y=2x-1 and y=-1/4x+3 is shown on the graph below. What is a reasonable estimate for the solution?
1 answer:
Answer:
Something close to (1.8,2.6)
Step-by-step explanation:
y=2x-1
y=-1/4 x+3
Since y=2x-1 and y=-1/4 x +3 then 2x-1=-1/4 x +3.
I'm going to multiply both sides by 4 to get rid of the fraction:
8x-4=-x+12
Add x on both sides:
9x-4=12
Add 4 on both sides:
9x=16
Divide both sides by 9:
x=16/9 is approximately 1.8 when put into calculator.
Now if x=16/9 and y=2x-1, then y=2(16/9)-1=32/9-1=32/9-9/9=(32-9)/9=23/9.
y=23/9 is approximately 2.6 when put into calculator.
So we are looking for an ordered pair pretty close to (1.8,2.6).
The graph is shown to you so I will put one here as well:
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