Use the substitution method to solve this system.
y = 2x + 4
3x + y = 9
x = -1
y = 6
x = 6
y = -1
x = 6
y = 1
x = 1
y = 6

The result is , the last option.

Step-by-step explanation:

We have the following system:

The substitution method is a method in which we choose one equation, write one variable in function of the other, and then replace it in the second equation to find one variable. Then, with the result, you go back to the first equation, and find the other variable.

Solution:

In 1), we already have y as a function of x. So, i am going to replace this in equation 2), so we can find x.

Now that we have the value of x, i am going back to equation 1) to find the value of y

The result is , the last option.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

b and c

step-by-step explanation: