Question

22] solve x + y= 5 and 2x-3y=4​

Answer 1

Answer:

y=1.2 and x=3.8

Step-by-step explanation:

there are two main methods of solving simultaneous equations, substitution and elimination.

we use substitution

x+y=5 we make x subject of the formula

x=5-y

we substitute the value of x in the second equation

2x-3y=4 but x=5-y

therefore

2(5-y)-3y=4

10-2y-3y=4

10-5y=4  collecting like terms

10-4=5y

6=5y to get value of y, divide through by 5

6/5 =5y/5

therefore, y=6/5

y=1.2

remember x=5-y

therefore x=5-1.2

x=3.8