Use elimination to solve each system of equations.

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2x - y = -1

3x - 2y = 1

2x - y = -1

3x - 2y = 1

Multiply the first equation by -2

-4x + 2y = 2

Add the new equation to the second equation

-x = 3

x = -3

Plug -3 into the first equation

2 * -3 - y = -1

-6 - y = -1

-y = 5

y = -5

(-3, -5)

Step-by-step explanation:

Elimination essentially means that we need to eliminate one variable so that we're left with only one to deal with. For this problem, let's eliminate y.

Multiply the first equation by 2:

2 * (2x - y) = (-1) * 2

4x - 2y = -2

Now, subtract the second equation from this new "first" equation:

   4x - 2y = -2

-   3x - 2y = 1

    x  +  0y = -3

So, we see that x = -3. We can now substitute this value of x into one of the equations and solve for y:

2x - y = -1

2 * (-3) - y = -1

-6 - y = -1

y = -5

Thus, the solution is (-3, -5).

Hope this helps!

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

answer: a) 56% women

b)44% men

step-by-step explanation: