Question

solve for x and y the system of equations. 2x-3y=7 and 5x+2y=10

Answer 1

2x-3y=7.................(1)equation
5x+2y=10...............(2)equation
multiply equation 1st by 5 and 2nd by 2
then,
10x-15y=35.............(3)equation
10x+4y=20...............(4)equation
subtract equation (3)and (4)

10x-15y=35
- 10x+4y=20
(-) (-) (-)
____________
0x+11y=15
y=15/11

substitute this y value in equation (2)we get as ,

2x-3y=7
2x-3(11/15)=7
2x-33/15=7
2x=7+33/15
2x=46/5
x=46/5×2
x=23/5

x=23/5. and y=15/11


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