(x+y=3
|-x + y =11
solving systems by substitution

The solution to the system of equations is (-4,7)

Explanation:

Given that the system of equations is and

Using substitution method, we shall solve the system of equations.

From the equation , let us determine the value of the y.

Thus, we have,

Now, substituting in the equation , we get,

Adding the like terms, we get,

Subtracting both sides by 3, we have,

Dividing both sides by -2, we have,

Now, substituting in the equation , we get,

Adding both sides by 4, we get,

Thus, the solution to the system of equations is (-4,7)

step-by-step explanation:

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.