Question

Solve the following:
(a) Express x in terms of y for the equation 7x + 5y = 35 and find the X-intercept.
(b) Find the intercepts of the line whose equation is x + y = 4 [3 MARKS]

Answer 1

Subpart : 1.5 Marks each

$\left(a\right)7x+5y=35$

$7x=35–5y$

$x=5–\frac{5}{7}y$ .......(i)

At the X intercept, y = 0

Putting this in the equation(i), we get x = 5

X intercept = 5


$\left(b\right)x+y=4$ ......(1)

At the Y axis, x = 0

Putting x = 0 in the equation(1), we get y = 4

Hence, Y intercept = 4

At the X axis, y = 0

Putting y = 0 in the equation, we get x = 4

Hence, X intercept = 4.