Question
Solve each system of equations by graphing.
10.
10.
Ask by Mccarthy Spencer. in the United States
Feb 04,2025
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The solution is
.
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Mind Expander
To solve the given system of equations by graphing, you’ll start by graphing each equation on the same coordinate plane.
-
For the first equation,
, identify the y-intercept at (0,2) and the slope . This means from the y-intercept, you can rise 3 units and run 4 units to the right to find another point, approximately (4,5). -
For the second equation,
, the y-intercept is at (0, -3). The slope is , so from (0, -3), for every 2 units you go to the right, you will go 1 unit down. This gives you another point around (2, -4).
Now, plot both lines. The point where they intersect will give you the solution to the system. When graphing, you might find that the lines intersect at the point
, which is your solution!
Remember to verify by substituting back into the original equations to ensure both hold true! Happy graphing!