Question

solve the system by the substitution method 15x-10y=5 15y=-4+5x

Answer 1

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Answer 2

15x-10y=5
15y=-4+5x

rearranging the equations
10y=-15x-5 ----(1)
15y=-4+5x -----(2)

to Eliminate x,multiply equa(1) by 1 and equa(2) by 3

10y=-15x-5 *1
15y=5x-4 *3

10y=-15x-5
45y=15x-12

add both eqauations
55y=-17
y=-17/55

sub into y into equa(1)
x=21/11

Answer 3

15y=5x-4
y=(5x-4)/15 Substitute this y value into:

15x-10y=5
15x-10[(5x-4)/15]=5 The 10 and 15 can be reduced and you get:

15x-2[(5x-4)/3]=5
15x-[(10x-8)/3]=5 Multiply both sides by 3 to eliminate the denominator

45x-10x+8=15
35x=7
x=7/35=1/5 Substitute this value into the othger equation:

15y=5x-4
15y=5(1/5)-4
15y=1-4
15y=-3
y=-3/15=-1/5

Therefore, x=1/5 and y=-1/5