Question

Solve the following by substitution method. 7x – 2y = 19 5x + 9y =24

Answer 1

Solution:-

7x-2y=19 ............(i)eq

5x+9y=24 ..............(ii)eq

by using substitution method

taking eq(i) and find value of X, we get

7x-2y=19

7x=19+2y

$x = \frac{19 + 2y}{7}$

now we got value of X and put the value of x on (ii) eq, we get

$5 \times ( \frac{19 + 2y}{7} ) + 9y = 24$

$\frac{95 + 10y}{7} + 9y = 24$

take a lcm=7

$\frac{95 + 10y + 63y}{7} = 24$

95+73y=24×7

95+73y=168

73y=168-95

73y=73

y=1

value of y=1,so on value of x we get

$x = \frac{19 + 2 \times 1}{7}$

x=21/7

x=3

so value of x =3 and y=1