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11. Find the x-intercept of the graph of each equation.

a. 3x + 2y = 7
b. 2x + 3y = 7

3 answers

To find the x-intercept of the graph of an equation, we set y = 0 and solve for x.

a. 3x + 2y = 7
Setting y = 0, we have:
3x + 2(0) = 7
3x = 7
x = 7/3

Therefore, the x-intercept of the graph of the equation 3x + 2y = 7 is (7/3, 0).

b. 2x + 3y = 7
Setting y = 0, we have:
2x + 3(0) = 7
2x = 7
x = 7/2

Therefore, the x-intercept of the graph of the equation 2x + 3y = 7 is (7/2, 0).
shorten them both
a. x-intercept: (7/3, 0)
b. x-intercept: (7/2, 0)