Question

Solution of Equations x + 4y = 3 and 3x = 2y + 2

A. x = 2, y = -1

B. x = 1, y = C. x = 1, y = -2 D. x = 2, y = 1​

Answer 1

Answer:

By substitution method,

3x+4y=10 & 2x−2y=2⇒2(x−y)=2⇒x−y=1 ___ (2)

∴x=y+1→(1).

Substituting in equation (2).

∴3x+4y=10⇒3(y+1)+4y=10

⇒3y+3+4y=10⇒7y=7⇒y=1

∴x=1+1=2

∴x=2,y=1

option d is correct option

Answer 2

Answer:

x=1, y= -1/2

Step-by-step explanation:

Multiply the second equation by 2. You get

6x-4y=4

Now add equation 1

6x-4y=4

+ x+4y=3

7x+0=7

x=7/7

x=1

substitute the value of x in equation 1

1+4y=3

4y=2

y=2/4

y=1/2

Therefore

x=1 , y=1/2