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denpristay [2]
2 years ago
13

Which graph represents the solution to the given system? y = -2x + 5 and y = 3x - 2

Mathematics
2 answers:
Ne4ueva [31]2 years ago
6 0

Answer:

The solution of given system of equations is (1.4, 2.2). It means the graph of both lines intersect each other at (1.4, 2.2).

Step-by-step explanation:

The slope intercept form of a line is

y=mx+b

where, m is slope and b is y-intercept.

The given system of equations is

y=-2x+5             .... (1)

y=3x-2              .... (2)

The slope of equation (1) is -2 and y-intercept is 5.

The slope of equation (2) is 3 and y-intercept is -2.

Equate equation (1) and  (2).

-2x+5=3x-2

Isolate the variable terms.

-2x-3x=-5-2

-5x=-7

Divide both sides by -5.

\frac{-5x}{-5}=\frac{-7}{-5}

x=1.4

Substitute x=1.4 in equation (1).

y=-2(1.4)+5

y=-2.8+5

y=2.2

Therefore, the solution of given system of equations is (1.4, 2.2). It means the graph of both lines intersect each other at (1.4, 2.2).

sasho [114]2 years ago
3 0
To find the X value of the solution, you would set the two equations equal to each other bu substitution:
if <span>y = -2x + 5 and y = 3x - 2, 
</span>-2x + 5 must be equal to 3x - 2
solve for x... you should get 7/5

then, plug that into one of the original equations as X and you would get the Y value, 11/5

This point, (7/5,11/5) is where the two lines cross
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