Question

3x+7y=1
2x+4y=0 and(2,3)

Answer 1

y=1, x=–2

and y=–2.5, x=6.5

Explanation:

2x+4y=0. (–4y)

2x=–4y. (÷2)

x=–2y. [1]

then 3x+7y=1 (subsitute from [1])

3(–2y)+7y=1

–6y+7y=1

y=1

then 3x+7y=1

3x+7(1)=1

3x+7=1

3x=1–7

3x=–6

x=–2

3x+7y=2

2x+4y=3

2x+4y=3

2x=3–4y

x=3/2–2y

then 3x+7y=2

3(3/2–2y)+7y=2

4.5–6y+7y=2

4.5+y=2

4.5+y–2=0

4.5–2=–y

2.5=–y

–2.5=y

then 2x+4y=3

2x+4(–2.5)=3

2x–10=3

2x=3+10

2x=13

x=13/2=6.5