Answer:
The solution of system of equations is (1 , 5)
Step-by-step explanation:
The first equation is:
3y + 2x = 17
The second equation is:
-x - 4y = -12
3y + 2x = 17 :
For x = 0 , y = 5.67
For x = 1 , y = 5
For x = 2 . y = 4.33
For x = 3 , y = 3.67
For x = 4, y = 3
-x - 4y = -21 :
For x = 0 , y = 5.25
For x = 1 , y = 5
For x = 2 . y = 4.75
For x = 3 , y = 4.5
For x = 4, y = 4.25
Solve the system of Equations:
3y + 2x = 17 ⇒ a
-x - 4y = -21 ⇒ b
Multiply equation b by -1:
x + 4y = 21
Rearrange:
x = 21 - 4y
Substitute x into equation a:
3y + 2(21-4y) = 17
3y + 42 - 8y = 17
-5y = 17 - 42
-5y = -25
y = 5
Substitute y in equation b:
-x - 4(5) = -21
-x -20 = -21
-x = -21+20
-x = -1
x = 1
