
Convert decimals to fractions

Multiply both sides by 10

Move expression to the left.

Remove zero.

Solve the quadratic equation.

Remove parenthesis and calculate.

Add the numbers

Separate the solutions

The final solution are
<h3>
Answer: (-1, 11)</h3>
This means x = -1 and y = 11 pair up together.
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Work Shown:
Set the two functions equal to one another. Solve for x.
f(x) = g(x)
-4x+7 = 2x+13
7 = 2x+13+4x ... adding 4x to both sides
7 = 6x+13
7-13 = 6x .... subtract 13 from both sides
-6 = 6x
6x = -6
x = -6/6 ... divide both sides by 6
x = -1
Use this x value in either function
f(x) = -4x+7
f(-1) = -4(-1)+7
f(-1) = 11
or
g(x) = 2x+13
g(-1) = 2(-1)+13
g(-1) = 11
Whichever function you pick, the input x = -1 leads to the output y = 11.
The point of intersection is (x,y) = (-1, 11)
Visual confirmation is shown below.
Answer:
I attached all my solutions, hope you will understand it!