To identify the x-intercept, we must put the equation is Standard Form.
Standard Form: Ax+By=C
Algebraic Solving:
-1/2x+y=1/2x-1/2x+3
•We must subtract 1/2x from both sides to cancel it out from the right and move it to the left. ——————————————————
-1/2x+y=3
•The equation is now in standard form: Ax+By=C. ——————————————————
To identify the x-intercept, we will substitute zero in for y because we want to find where the line crosses or intercepts the x-axis, not the y-axis.
Set y=0
-1/2x+y=3
-1/2x+(0)=3 —————————
-1/2x=3
-1/2x•-2/1=3•-2/1
• To cancel out a fraction, we use the reciprocal, meaning the fraction is just flipped. This cancels out fraction and leaves us with x. ———————————————————————
To start off, Chang has already saved $45. $125 - $45 = $80. Therefore, he owes $80. $80 ÷ 7 = 11.4285714286, so he needs to work 12 full hours to pay for his trip.
