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Solve the system of equations by graphing. y=-3/2x+6y=5x-7

User Szymon Rut
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1 Answer

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The given system of equations is expressed as

y = - 3x/2 + 6

y = 5x - 7

We would input values for x into each equation and get corresponding y values.

For the first equation,

If x = 0, y = - 3 * 0/2 + 6 = 6

If x = 1, y = - 3 * 1/2 + 6 = 4.5

If x = 2, y = - 3 * 2/2 + 6 = 3

For the second equation,

If x = 0, y = 5 * 0 - 7 = - 7

If x = 1, y = 5 * 1 - 7 = - 2

If x = 2, y = -5 *2 - 7 = 3

These values are plotted on a graph as shown below. The coordinates of the point where both lines meet represesnt the solution of the equation.

At the point where they meet, x = 2, y = 3

Thus, the solution is (2, 3)

Solve the system of equations by graphing. y=-3/2x+6y=5x-7-example-1
User CptBartender
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