Question

Solve the equations y = x + 3 and 3x + y = 17.

• A. (3, 4)
• B. ( $\frac{5}{2}$, $\frac{13}{2}$)
• C. ( $\frac{7}{2}$, $\frac{13}{2}$)
• D. ( $\frac{-3}{2}$, $\frac{3}{2}$)

Answer 1

Answer: (C), (D)

The correct options are
C

( $\frac{7}{2}$, $\frac{13}{2}$)

D

( $\frac{-3}{2}$, $\frac{3}{2}$)

Given equations:

y = x + 3 .........(i)

3x + y = 17.........(ii)

Substitute (i) in (ii)

3x + x + 3 = 17...
4x = 14

$\Rightarrow$ x = $\frac{7}{2}$

Substitute x = $\frac{7}{2}$ in (i) we get

y = $\frac{7}{2}$ + 3

y = $\frac{13}{2}$