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timurjin [86]
3 years ago
6

A system of equations is graphed on the coordinate plane. y=−x+5y=2x−1 What is the solution to the system of equations? Enter th

e coordinates of the solution

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0

Answer:

The solution of this system of equations is (2,3).

Step-by-step explanation:

We are given the system of equations,

y=-x+5

y=2x-1

Plotting the equations, we see that,

<em>The point where the graph of these equations intersect is (2,3).</em>

We know,

<em>The intersection point of two equations is represented by the solution of the system of equations.</em>

Thus, we have,

The solution of this system of equations is (2,3).

That is, x= 2 and y= 3.

Marat540 [252]3 years ago
5 0

we have

y=-x+5 ------> equation A

y=2x-1 ------> equation B  

Method 1

Equate equation A and equation B

-x+5=2x-1

solve for x

2x+x=5+1

3x=6

x=2

Find the value of y

y=2x-1

y=2*2-1=3

The solution is the point (2,3)

therefore

<u>the answer is</u>

(2,3)

Method 2

we know that

The intersection point both graphs is the solution of the system of linear equations

using a graphing tool

see the attached figure

the intersection point is (2,3)

therefore

<u>the answer is</u>

(2,3)


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