Question

Solve the system of linear equations by graphing. Round the solution to the nearest tenth.

y = –0.25x + 4.7

y = 4.9x – 1.64

The approximate solution to the system is (
,
).

Answer 1

The approximate solution to the system is (1.2, 4.4)

x = 1.2 and y = 4.4

Explanation:

The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation = 4.9x – 1.64.

The solution of the system of equations is their point of intersection shown on the graph.

The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.

So the approximate solution to the system is (1.2, 4.4)