To review the graphs of these two linear equations:
1. y = 4x - 10:
- y-intercept: -10 (point where the line crosses the y-axis)
- slope: 4 (rise of 4 units for every run of 1 unit)
2. y = -2x + 8:
- y-intercept: 8
- slope: -2
To find the solution of the system, we need to find the point where the two lines intersect. This point is the solution to the system of equations.
To find the solution, we can set the two equations equal to each other:
4x - 10 = -2x + 8
Solving for x:
6x = 18
x = 3
Substitute x = 3 back into one of the equations to solve for y:
y = 4(3) - 10
y = 12 - 10
y = 2
Therefore, the solution of the system of equations is (3, 2), which is the point where the two lines intersect on the graph.
review the graphs of a system of these two linear equations in two variables: y = 4x - 10 and y = -2x + 8. find the solution of the system.
the solution of the system of equations is (__).
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