Use the graphs to solve the simultaneous linear equations
y = 2x + 1 and x + y = 7
у
y = 2x + 1
10
9
8
7
6
5
4
|x + y 11
3
2
1
Х
0 1 2 3 4 5 6 7 8 9 10​

Respuesta :

Answer:

x = 2 and y = 5

Step-by-step explanation:

Given the simultaneous linear equations

y = 2x + 1 and x + y = 7

We are to find the  value of x and y;

Substitute 1 into 2

From 2;

x+y = 7

x+2x+1 = 7

3x+1 = 7

3x = 7-1

3x = 6

x = 6/3

x = 2

Recall that y = 2x+1

y = 2(2) + 1

y = 4+1

y = 5

Hence the solution from the graph will be the point where the line cuts the x axis and this will be at x = 2 and y = 5

The solution to the system of equations is (2,5)

The equations are given as:

y = 2x + 1

x + y = 7

Start by plotting the graphs of both equations

y = 2x + 1 and x + y = 7

See attachment for the graphs of y = 2x + 1 and x + y = 7

From the attached graph, the lines intersect at (2,5)

Hence, the solution to the system of equation is (2,5)

Read more about system of linear equations at:

https://brainly.com/question/14323743

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