1.)Determine the x- and y- intercept of each equation.
(if u can please show me a step by step answer so i understand it:)
a.) 9x=54-6y
b.) (x/5)-(y/10)=2
to find the x-intercept, let y = 0
so 9x=54-0
x=6
to find the y-intercept, let x = 0
so 0=54-6y
6y=54
y=9
so the x-intercept is 6, and the y-intercept is 9
do the same for the second question, let me know what you got.
well for a:
for y intercept, let x be 0
so,
9x=54-6y
9*0=54-6y
0=54-6y
-54=-6y (subracting -54 )
-54/-6=y (dividing -6 )
9=y
so do the same for x intercept just keep y with 0
and their is the answer....
sorry don't know b. hope i heped u
Sure! I'd be happy to help you determine the x- and y-intercepts for these equations.
a.) 9x=54-6y
To find the x-intercept, we need to set y to zero and solve for x.
Step 1: Set y to zero: 9x = 54
Step 2: Solve for x: x = 54/9
Step 3: Simplify: x = 6
Therefore, the x-intercept is 6.
To find the y-intercept, we need to set x to zero and solve for y.
Step 1: Set x to zero: 9(0) = 54 - 6y
Step 2: Simplify: 0 = 54 - 6y
Step 3: Solve for y: 6y = 54
Step 4: Simplify: y = 54/6
Step 5: Simplify further: y = 9
Therefore, the y-intercept is 9.
b.) (x/5) - (y/10) = 2
To find the x-intercept, we set y to zero and solve for x.
Step 1: Set y to zero: (x/5) - 0 = 2
Step 2: Simplify: x/5 = 2
Step 3: Multiply both sides by 5: x = 10
Therefore, the x-intercept is 10.
To find the y-intercept, we set x to zero and solve for y.
Step 1: Set x to zero: (0/5) - (y/10) = 2
Step 2: Simplify: -y/10 = 2
Step 3: Multiply both sides by 10: -y = 20
Step 4: Simplify: y = -20
Therefore, the y-intercept is -20.
So, the x-intercept for equation (a) is 6 and the y-intercept is 9.
The x-intercept for equation (b) is 10 and the y-intercept is -20.