7y+3=4y−18

y =
(type your answer as a number)

y = -7

Step-by-step explanation:

To solve for 'y', we need to isolate it, meaning to separate it from everything else. You move numbers in the equation around by canceling them out, which you do with opposite or reverse operations. (Addition and subtraction are opposites. Division and multiplication are opposites).

First, bring all of the numbers with 'y' to the left, and bring all of the numbers without 'y' to the right. Then isolate y.

7y + 3 = 4y - 18              Move 'y' to the left.

7y - 4y + 3 = 4y - 4y - 18     Subtract 4y from both sides.

7y - 4y + 3 = -18          Notice 4y - 4y cancelled out. Combine like terms on the left. 7y and -4y both have 'y'.

3y + 3 = -18                Move the numbers to the right.

3y + 3 - 3 = -18 - 3      Subtract 3 from both sides.

3y = -18 - 3             +3 and -3 cancelled out. Combine like terms on right.

3y = -21                 Cancel out the '3' attached to 'y'.

3y/3 = -21/3         Divide both sides by 3.

y = -21/3              3y/3 becomes just 'y' because 3 ÷ 3 is 1.

y = -7                  Answer for y.

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.

exactly you go it

step-by-step explanation: