Question

What is the apparent solution to the system of equations?

y=-x+2
y -4x +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.
y
10
9
8
7
6
5
2
1
X
-10-9-8-7
-6
-5
-4
-3 -2 -19
1
2
3
4
5
6
7
8
9
10
-2
-
-4
-5
-6
-7
-8
-9
-10

Answer 1

Explanation:

The given equations are :

y=-x+2 ....(1)

y = -4x +7 ....(2)

From equation (1) and (2)

-x+2 = -4x +7

Taking like terms together

-x+4x=7-2

3x = 5

x = 1.667

Put the value of x in equation (1)

y=-(1.667)+2

y = 0.333

The solution of the equations are (1.667,0.333). The attached figure shows the graph for the equations.