Question

solve by substitution method
3x + y = 3 ,
4x - y = 1/2​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

3x+y=3 -(1)

4x-y=½ -(2)

now, finding value of x from eq 1

$x = \frac{3 - y}{3}$

substitute value of x in eq 2

$4 \times \frac{3 - y}{3} - y = \frac{1}{2}$

$\frac{4(3 - y)}{3} - y = \frac{1}{2} \\ \frac{12 - 4y}{3} - y = \frac{1}{2} \\ taking \: lcm \\ \frac{12 - 4y - 3y}{3} = \frac{1}{2}$

2(12-7y)=3

24-14y=3

24-3=14y

$\frac{21}{14} = y$

reducing to lowest form

$\frac{3}{2} = y$

substitute y=3/2 in eq 1

$3x + \frac{3}{2} = 3 \\ taking \: lcm \\ \frac{6x + 3}{2} = 3 \\ 6x + 3 = 3 \times 2 \\ 6x + 3 = 6 \\ x = \frac{6 - 3}{6} \\ x = \frac{3}{6} = \frac{1}{2}$

hence,

x=½

and y= 3/2

hope u find it useful.

have a great day.