Question

97x + 53y = 177 53x + 97y = 573 Solve this equation with substitution method or A.S.A method

Answer 1

Step-by-step explanation:

1. take both equation. 97x + 53y =177 53x + 97y =573 now, add both x and y (97x+53x)+(53y+97y)=177+573. = 150x+150y=750.

now take 150 common

150(x + y)=750

now,

x + y= 750÷150

x +y=5

now by substitution method

• x+y=5

x=y-5

put the value of x in x+y=5

x+y=5

(y-5)+y=5

2y-5=5

2y=5+5

2y=10

• y=5
• now put the value of y in x+y=5
• x+y=5
• x+5=5
• x=0
• (x,y)=(0,5)