Solve the system of equations by graphing y=x y=-3x+4

Question

asked Mar 19, 2020 58.8k views

1 Answer

Dale Moore · Answer 1 · 2020-03-25T07:10:46+0000

Answer:

(1,1)

Explanation:

Since we have a defined variable, we can use substitution to solve.

If
y=x , that means that we can substitute
for anywhere we have
.

y=-3x+4

x=-3x+4

Then, we can combine like terms and simplify the equation to find
.

(x+3x) = (-3x+3x) +4

4x=4

((4x)/(4)) = ((4)/(4))

So,
x=1 .

y=x , therefore
also equals 1.

Lines
y=x and
y=-3x+4 meet at point (1,1).