helloamelia101
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PLEASE ANSWERRRRRRRRRRRRRRRRR

Look at the graph of the system of equations: 5x-3y= -3 and x + 3y =21
How can you prove that the point of intersection of the lines on the graph is the solution to both equations?

A. Substitute 6 as the x value in each of the equations and solve for y.
B. Substitute 7 as the y value in each of the equations and solve for x
C. Substitute 3 as the x value in each of the equations and solve for y.
D. Substitute 1 as the y value in each of the equations and solve for x.

PLEASE ANSWERRRRRRRRRRRRRRRRR Look at the graph of the system of equations 5x3y 3 and x 3y 21 How can you prove that the point of intersection of the lines on t class=

Respuesta :

The graph suggests that the two lines meet at [tex](3,6)[/tex]

If this is true, that point must belong to both lines.

To check this, plug [tex]x=3[/tex] in both equations, and you must get [tex]y=6[/tex] once you simplifiy all the numbers.

In the first equation we have

[tex]5\cdot 3-3y= -3 \iff 3y=15+3\iff 3y=18 \iff y=6[/tex]

In the second,

[tex]3+3y=21 \iff 3y=18\iff y=6[/tex]

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