Determine the solution.
2x+y=4
4x-3y=7

The answer is: (x , y) = (19/10 , 1/5)

Step-by-step explanation:

Solve the equation for y-

y = 4 - 2x

4x - 3y = 7

Substitute the given value of y into the equation-

4 x - 3 ( 4 - 2x ) = 7

Solve the equation for x-

x = 19/10

Substitute the given value of x into the equation y = 4 - 2x-

y= 4 - 2 * 19/10

Solve the equation for y-

y = 1/5

The possible solution of the system is the ordered pair ( x , y )-

( x , y ) = ( 19/10 , 1/5)

Check if the given ordered pair is the solution of the system of equations-

{2 * 19/10 + 1/5 =4

4 * 19/10 - 3*1/5 =7}

Simplify the equalities-

4 = 4

7 = 7

Since all equalities are proven true the ordered pair is the solution of the system-

( x , y) = (19/10, 1/5)

FINALLY haha the solution is: ( x , y ) = (19/10 , 1/5)

Hope this helps you!! :) <333

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.