Answer:
There is no solution to the systems of equation.
Step-by-step explanation:
Graph the system by using y=mx+b
Both systems are y=2/5x+5/2.
The given system of equations 4x + 4y = 32 and 3x + 24 = 3y has only one solution
<u>Solution:</u>
Given, system of equations are:
4x + 4y = 32 ---- eqn (1)
3x + 24 = 3y ----- eqn (2)
We have to determine whether the system has one solution, no solution, or infinitely many solutions.
Now let us solve the given system of equations to determine.
Now, eqn (1) can be written as,
4(x + y) = 32
x + y = 8
x = 8 – y
So, substitute "x" value in eqn (2) to get the value of "y"
3(8 – y) + 24 = 3y
24 – 3y + 24 = 3y
48 = 3y + 3y
y = 8
Then, x = 8 – 8 = 0
Hence we got x = 0 and y = 8
Hence, the given system of equations has only one solution (x, y) = (0, 8)
Step-by-step explanation:
The steam-powered locomotive revolutionized commercial transportation by providing a durable, faster, cheaper way to move goods. The Governor Stanford was the first train on the Central Pacific, which became the first transcontinental railroad line in 1869 when it was joined with the Union Pacific.
To construct an angle MNT congruent to angle PQR:
Steps to construct an angle MNT:
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: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the previous arc drawn from N in a point Y.
Step 4: Join points N and Y using a straightedge.
Step 5: Angle MNT is the required angle congruent to angle PQR.
