Question
Review the graphs of a system of two linear equations in two variables x-5y=7 and 3X-2y=-4. find the solution to both equations
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GPT 3.5
To review the graphs of the system of two linear equations in two variables x - 5y = 7 and 3x - 2y = -4, we can start by rearranging both equations in the standard form (y = mx + b), where m represents the slope and b represents the y-intercept.
1. Equation 1: x - 5y = 7
Rearranging this equation, we have:
-5y = -x + 7
y = (1/5)x - (7/5)
2. Equation 2: 3x - 2y = -4
Rearranging this equation, we have:
-2y = -3x - 4
y = (3/2)x + 2
Now, let's plot these graphs on the coordinate plane to visualize the solution:
Based on the equations:
Equation 1 (red): y = (1/5)x - (7/5)
Equation 2 (blue): y = (3/2)x + 2
The solution to the system of equations is the point where the two lines intersect.
Upon observation, we can see that the lines intersect at the point (-5, -2).
1. Equation 1: x - 5y = 7
Rearranging this equation, we have:
-5y = -x + 7
y = (1/5)x - (7/5)
2. Equation 2: 3x - 2y = -4
Rearranging this equation, we have:
-2y = -3x - 4
y = (3/2)x + 2
Now, let's plot these graphs on the coordinate plane to visualize the solution:
Based on the equations:
Equation 1 (red): y = (1/5)x - (7/5)
Equation 2 (blue): y = (3/2)x + 2
The solution to the system of equations is the point where the two lines intersect.
Upon observation, we can see that the lines intersect at the point (-5, -2).