Respuesta :
Answer:
x=7 and y=10
Step-by-step explanation:
y=x+3 ......eqn (1)
y=2x-4 .......eqn(2)
From equation 1
x=y-3 .......eqn (3)
Subtitude equation 3 into equation 2
y=2(y-3)-4
y=2y-6-4
y=2y-10
y-2y=-10
-y=-10
y=10
Subtitude y=10 into equation 3
x=10-3
x=7
Answer:
x=7, y=10
Step-by-step explanation:
Given equation set is :
[tex]\[y = x + 3\][/tex] ---------------(1)
[tex]\[y = 2x - 4\][/tex] ---------------(2)
Simplifying (1) to express x in terms of y:
[tex]\[x = y - 3\][/tex] ---------------- (3)
Substituting this value of x in (2) and solving:
[tex]\[y = 2*(y-3) - 4\][/tex]
=> [tex]\[y = 2y - 6 - 4\][/tex]
=> [tex]\[y = 2y - 10\][/tex]
=> [tex]\[2y - y = 10\][/tex]
=> [tex]\[y = 10\][/tex]
Substituting this value of y in (3) :
[tex]\[x = 10 - 3\][/tex]
=>[tex]\[x = 7\][/tex]
So the required solution is x=7,y=10.