can i get step by step for this equation?
3x + 2y =24
what is the y intercept and what is the x intercept? I need the ordered pairs
The ordered pairs: (0 , 12) , (8 , 0).
To find the x-intercept, we set y=0 and solve for x.
Step 1: Substitute y=0 into the equation:
3x + 2(0) = 24
3x = 24
Divide both sides by 3:
x = 8
Therefore, the x-intercept is (8, 0).
To find the y-intercept, we set x=0 and solve for y.
Step 2: Substitute x=0 into the equation:
3(0) + 2y = 24
2y = 24
Divide both sides by 2:
y = 12
Therefore, the y-intercept is (0, 12).
So, the ordered pairs for the x-intercept and y-intercept are:
x-intercept: (8, 0)
y-intercept: (0, 12)
To find the steps for solving the equation 3x + 2y = 24, we will use the method of substitution.
1. Begin by solving for y in terms of x or x in terms of y. Here, let's solve for y in terms of x:
3x + 2y = 24
2y = 24 - 3x
y = (24 - 3x) / 2
2. To find the x-intercept (when y = 0), substitute y with 0 in the equation:
y = (24 - 3x) / 2
0 = (24 - 3x) / 2
Multiply both sides by 2 to eliminate the fraction:
0 = 24 - 3x
Rearrange the equation:
3x = 24
Divide both sides by 3:
x = 8
The x-intercept is when x = 8. Therefore, the x-intercept ordered pair is (8, 0).
3. To find the y-intercept (when x = 0), substitute x with 0 in the equation:
y = (24 - 3x) / 2
y = (24 - 3(0)) / 2
y = 24 / 2
y = 12
The y-intercept is when y = 12. Therefore, the y-intercept ordered pair is (0, 12).
So, the x-intercept is (8, 0) and the y-intercept is (0, 12).
3x +2y = 24.
To find y-int, let x = 0 and solve for
y: 3*0 + 2y = 24 , y = 12.
To find x int, let y = 0 and solve for
x: 3x + 2*0 = 24, x = 8.