An ordered pair (x,y) is a solution to a system of equations if it makes all the equations true.
Let's check whether (–1, 5) makes the equations true.
Plugging –1 in the first equation for x and 5 in for y, we get
–1 + 5 = 4: TRUE
Plugging –1 in the second equation for x and 5 in for y, we get
–1 – 5 = –6: TRUE
Since it makes both the equations true, it's a solution to the system of equations. So the answer choice is D, the 4th one.
Math is used in construction everywhere.Math is used in construction to measure parts, how many feet, inches, etc. to do and how high to go up.A great example is in the scaling of blueprints, where an architect creates a scale model of the building so that it can fit on paper.
5. (0,1)
6. (-2,-2)
7. (-1,-3)
8. (-3, 2)
Area (square)=side²
therefore:
side²=200 feet²
side=√(200 feet²)=14.142 feet≈14.1 feet.
solution: side of square=14.1 feet.
