Question

solve graphically 2x+3y=46 and 3x+5y=74​

Answer 1

Answer:

let

2x+3y= 46 be statement (1)

thus, 3x+5y= 74 be statement (2)

now, multiply (1) by 3

2x *3+3y*3=46*3

6x+9y = 138

now multiply (2) by 2

3x*2 + 5y*2 = 74*2

6x +10y = 148

Subtracting (2) from (1)

6x+9y =138

6x+10y = 148

(-) (-) (-)

thus, -y = -10

y =10

2x+3y = 46

2x +3*10 = 46

2x +30 = 46

2x= 46-30

x=2