Answer: x=-42 and y=-73
Step-by-step explanation:
Given the system of equations:
[tex]y-x=-31[/tex].........[1]
[tex]-4x+3y=-51[/tex].......[2]
Multiplying [1] by 4 we have
[tex]-4x+4y=-124[/tex]........[3]
[tex]-4x+3y=-51[/tex]........[4]
Subtracting [4] from [3]
[tex]-4x+4x+4y-3y=-124+51[/tex]
⇒ y=-73
Putting it in [1]
[tex]-73-x=-31[/tex]
Adding 73 both sides
[tex]-73+73-x=-31+73[/tex]
-x=42
Multiplying both sides by -1
x=-42
Answer:
x = -42 and y = -73
Step-by-step explanation:
Given equations are :
y-x = -31 eq(1) and
-4x+3y = -51 eq(2).
We solve it by eliminating by y and then putting the value of x into the equation.
From eq(1) ,we get
y = -31+x eq(3)
Putting above equation in eq(2) , we get
-4x+3(-31+x) = -51
Simplifying
-4x-93+3x = -51
Adding like terms,we get
-x-93 = -51
Adding 93 to both sides of above equation,we get
-x-93+93 = -51+93
-x+0 = 42
x = -42
putting the value of x in eq(3) , we get
y = -31-42
y = -73
Hence, the solution of this system on linear equation is (-42,-73).
