Question

Find the intercepts of each equation:

x + y = 8

2x + y = -3​

Answer 1

X=-11
Y=19
If on a graph it would be {-2x-8[-20,20,-10,10]}

Answer 2

`x = - 11`

`y = 19`

Explanation:

`x + y = 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...1 \\ </p><p></p><p>2x + y = -3 \: \: \: \: \: \: \: \: \: \: \: ...2`

from equation 1, we get

`x = 8 - y</p><p>`

now put x = 8 - y in equation 2

`</p><p></p><p>2(8 - y) + y= -3 \\ 16 - 2y + y = - 3 \\ - y = - 3 - 16 \\ - y = - 19 \\ y = 19`

now put y = 19 in equation 1

`x + 19= 8 \\ </p><p>x = 8 - 19 \\ x = - 11</p><p>`

thus, x = -11 and y = 19