Solve the system of equations -10x+3y=5 x=y-4

{x = 1, y = 5

Step-by-step explanation:

Solve the following system:

{3 y - 10 x = 5 | (equation 1)

{x = y - 4 | (equation 2)

Express the system in standard form:

{-(10 x) + 3 y = 5 | (equation 1)

{x - y = -4 | (equation 2)

Add 1/10 × (equation 1) to equation 2:

{-(10 x) + 3 y = 5 | (equation 1)

{0 x - (7 y)/10 = (-7)/2 | (equation 2)

Multiply equation 2 by -10/7:

{-(10 x) + 3 y = 5 | (equation 1)

{0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{-(10 x)+0 y = -10 | (equation 1)

{0 x+y = 5 | (equation 2)

Divide equation 1 by -10:

{x+0 y = 1 | (equation 1)

{0 x+y = 5 | (equation 2)

Collect results:

 {x = 1 , y = 5

the answer is ! ?