Question

Solve for ‘x’ and ‘y’:
5x + 2y = 11 ............. (i)
2x + y = 13 ............ (ii)

Answer 1

Step-by-step explanation:

2(5x+2y=11)........i

5(2x+y=13).........ii

10x+4y=22..........i

10x+5y=65.........ii

we will multiply the 2nd with (-) sign because we need to subtract

10x-4y=22

-10x-5y=-13

-9y=9

y=-1

putting y value in (ii)

2x-1=13

x=14/2

x=7

Answer 2

Answer:

x = -15 ; y = 43

Step-by-step explanation:

Elimination method:

• multiply equation (ii) by 2 so that the coefficients of y in both equations become equal. so we get,

5x + 2y = 11.................(i)

4x + 2y = 26..............(ii)

• subtracting equation (ii) from (i) we get,

x = -15;

• re-substiting this value in any of the equations we get,

5×(-15) + 2y = 11. 2×(-15) + y = 13

-75 + 2y = 11. (or) -30 + y = 13

y = 43 y = 43.