Find the x and y intercept of this equation:
10x-70y=210
I keep getting the wrong answer. Can you show me how to set it up and work it out?
Y- intercept is when x is equal to 0
To find it replace x with 0
10(0)-70y=210
Now solve for y
0-70y=210
-70y=210
y=-3
X- intercept is when y is equal to 0
To find it replace y with 0
10x-70(0)=210
10x-0=210
10x=210
X=21
So the y-intercept is at (0,-3)
And x intercept is at (21,0)
Absolutely! Let's go step by step to find the x and y intercepts of the equation.
To find the x-intercept, we set y equal to zero and solve for x. This means that the value of y is zero on the x-axis.
Considering the equation: 10x - 70y = 210
Step 1: Substitute y with 0 in the equation:
10x - 70(0) = 210
Step 2: Simplify the equation:
10x = 210
Step 3: Solve for x by isolating it:
x = 210 / 10
x = 21
Therefore, the x-intercept is 21.
Now let's find the y-intercept. To do so, we set x equal to zero and solve for y. This means that the value of x is zero on the y-axis.
Considering the equation: 10x - 70y = 210
Step 1: Substitute x with 0 in the equation:
10(0) - 70y = 210
Step 2: Simplify the equation:
-70y = 210
Step 3: Solve for y by isolating it:
y = 210 / -70
y = -3
Therefore, the y-intercept is -3.
In summary, the x-intercept is 21 and the y-intercept is -3 for the equation 10x - 70y = 210.