Question

Solve the following simultaneous equations.5x + 8y = 9; 2x + 3y = 4​

Answer 1

Answer:

5x+8y=9 ----- (1)

2x+3y=4 ----- (2)

From equation (1) assume the value of x and y to satisfy the equation to zero.

5x+8y−9=0 ------ (3)

Put x=5,y=−2 in equation (3)

5(5)+8(−2)−9=0

25−16−9=0

25−25=0

0=0

Again put x=1,y=0.5 in equation (3)

5(1)+8(0.5)−9=0

5+4−9=0

9−9=0

0=0

Now plotting (5,−2),(1,0.5) and joining them, we get a straight line.

From equation (2) assume the value of x and y to satisfy the equation to zero.

2x+3y4=0 ----- (4)

Put x=5,y=−2 in equation (4)

2(5)+3(−2)−4=0

10−6−4=0

10−10=0

0=0Now plotting (5,−2),(1,0.5) and joining them, we get a straight line.

From equation (2) assume the value of x and y to satisfy the equation to zero.

2x+3y4=0 ----- (4)

Put x=5,y=−2 in equation (4)

2(5)+3(−2)−4=0

10−6−4=0

10−10=0

0=0

Again put x=2,y=0 in equation (4)

2(2)+3(0)−4=0

4−0−4=0

4−4=0

0=0

Plotting (5,−2),(2,0) and joining them, we get another straight line

These lines intersect at the point (5,−2) and therefore the solution of the equation is x=5,y=−2 (see fig.)

Step-by-step explanation:

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