Question

HELP

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What is the solution to the system of equations represented by these two lines?

A.
(0, 4)

B.
(4, 2)

C.
(2, 3)

D.
(2, 0)

Answer 1

look at the ordered pair at which they intersect

Answer 2

@Nightbot

Answer 3

To do that, you have to solve both equations simultaneously.
We can use the substitution method. on this one:
- Make y the subject of the formula in one of the two equations
- the y found should be replaced in the other equation.
- Solve for y in a single equation
- Replace the obtained value of y in the equation where you made this the subject, finding x.
- That's it!
\[y=\frac{ 3 }{ 2 }x\]
\[y=-\frac{ 1 }{ 2 }x+4\]

\[\frac{ 3 }{ 2 }x=-\frac{ 1 }{ 2 }x+4\]
\[2x=4\]
\[x=2\]

Back to the equation, where I considered to have y as the subject...
\[y=\frac{ 3 }{ 2 }(2)=3\]
The coordinate is (2,3)
C.