Question

Solve the given system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets.

Answer 1

Since the values on both sides are difference, hence the system of equation has no solution

System of equations

Given the following system of equation

x + y = 7

2x + 2y = 8

The solution by graphing is the point where the two lines intersect on the xy-plane

From equation 1;

x = 7 - y

Substitute into equation 2 to have:

2x + 2y = 8

x + y = 4

7 - y + y = 4

7 =4

Since the values on both sides are difference, hence the system of equation has no solution

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