Question

Is the ordered pair (1, 2) a solution to this system

Answer 1

Answer:

Yes

Step-by-step explanation:

To determine is an ordered pair is a solution to the system of equations, substitute its coordinates into each of the equations.

An ordered pair is written in the form (x, y), so x=1 and y=2.

y = -2x +4

2 = -2(1) + 4      <=simplify this by multiplying (-2)(1)

2 = -2 + 4        <= add

2 = 2         <= same answers

LS = RS

7x - 2y = 3

7(1) - 2(2) = 3     <=simplify this but multiplying 7(1) and 2(2)

7 - 4 = 3           <= subtract

3 = 3          <= same answers

LS = RS

Since (1, 2) satisfies both of the equations, it is a soltuion to the system of equations.