For the following system, if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation?

3x + y = 8
-x - 2y = -10

we will substitute x=10-2 y in the first equation.

Step-by-step explanation:

We are given two equations as:

3 x+y=8

and -x-2 y= -10

to "isolate" means we have to set apart one thing from the others.

here we have to isolate 'x' in the second equation to use the substitution method so we have

x=10-2 y from the second equation.

Hence we will substitute x=10-2 y into the first equation to get the solutions of the given system of equations with the help of substitution method.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is