Question
what are the intercepts of the equation 5x+3y=15
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GPT 3.5
To find the intercepts of the equation 5x + 3y = 15, we can set each variable to zero, one at a time, and solve for the other variable.
1. x-intercept: To find the x-intercept, we set y = 0 and solve for x.
5x + 3(0) = 15
5x = 15
Dividing both sides by 5:
x = 3
Therefore, the x-intercept is (3, 0).
2. y-intercept: To find the y-intercept, we set x = 0 and solve for y.
5(0) + 3y = 15
3y = 15
Dividing both sides by 3:
y = 5
Therefore, the y-intercept is (0, 5).
So, the intercepts of the equation 5x + 3y = 15 are (3, 0) and (0, 5).
1. x-intercept: To find the x-intercept, we set y = 0 and solve for x.
5x + 3(0) = 15
5x = 15
Dividing both sides by 5:
x = 3
Therefore, the x-intercept is (3, 0).
2. y-intercept: To find the y-intercept, we set x = 0 and solve for y.
5(0) + 3y = 15
3y = 15
Dividing both sides by 3:
y = 5
Therefore, the y-intercept is (0, 5).
So, the intercepts of the equation 5x + 3y = 15 are (3, 0) and (0, 5).
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