Question

Solve the following pair of linear equations 5x+4y=9 ,x+2y=3

Answer 1

5x+4y=9....................................(1)
x+2y=3......................................(2)

[multiplying equation no. (2) by 2]
we get,

2x+4y=6.....................................(3)

[subtracting equation no. (3) from (1)]

3x=3
x=3/3
x=1

[substituting x=1 in equation no.(2)]

x+2y=3
(1)+2y=3
1+2y=3
2y=3-1
2y=2
y=2/2
y=1

SOLUTION:
$x = 1 \: \: y = 1$


$hope \: this \: helps.$

Answer 2

Answer:

(1,1)

Step-by-step explanation:

Equations: $5x+4y=9$  --1

                  $x+2y=3$  --2

Solution:

Solve 1 and 2 using substitution method

Substitute the value of x from 2 in 1

$5(3-2y)+4y=9$

$15-10y+4y=9$

$15-6y=9$

$15-9=6y$

$6=6y$

$y=1$

Substitute the value of y in 2 to get value of x

$x+2(1)=3$

$x+2=3$

$x=1$

Thus the solution of given equations is (1,1)