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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Answer:
An unknown variable by reversing the process used to form the original equation.
Step-by-step explanation:
The opposite process rule says to solve for - an unknown variable by reversing the process used to form the original equation.
If an equation indicates an operation such as addition, subtraction, multiplication, or division, solve for the unknown variable by using the opposite process.
For example:
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Here 25 is subtracted from both sides of the equation to isolate x.
we get x = 10
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The answer to the question is 2
