Answer:
The ordered pair ( 5, 15) is a solution to the system of given equations.
Step-by-step explanation:
Consider the given equations,
4x-y=5 .......(1)
x+y=10 .......(2)
We have to find the ordered pair which is a solution to the system of given equations.
We solve the system by elimination method,
Adding both equation , to eliminate y ,
⇒ 4x - y +( x+y ) = 5+ 10
⇒ 4x - y + x + y = 15
⇒ 5x = 15
⇒ x = 5
Put x = 5 in equation (1) , and solve for y,
We get,
4x - y = 5 ⇒ 4(5) - y = 5 ⇒ y = 20 - 5 ⇒ y = 15
Thus, the ordered pair ( 5, 15) is a solution to the system of given equations.
Answer:
(3,7)
Step-by-step explanation:
Given equations are
4x-y= 5 eq(1)
x+y= 10 eq(2)
we have to solve the system of equations by find an ordered pair.
we use substitution method to find solution of system of equations.
From eq(2)
y= 10-x
Putting above equation in eq(2),we get
4x-(10-x)=5
4x-10+x=5
4x+x-10=5
Add like terms
5x-10=5
Adding 10 to both sides of above equation,we get
5x-10+10= 5+10
5x=15
Dividing by 5 to both sides of above equation,we get
5x/5= 15/5
x= 3
Putting the value of x in eq(2) ,we get
3+y=10
Adding -3 to both sides of above equation,we get
-3+3+y=-3+10
0+y= 7
y= 7
Hence, (3,7) is solution of given system of equation.
