Answer:
A. The ordered pair (1,2) is a solution to the system of linear equations.
B. When (1,2) is substituted into the second equation, the equation is true
C. When (1,2) is substituted into the first equation, the equation is true
Step-by-step explanation:
X and Y coordinates is an address, which helps to locate a point in two-dimensional space. Any point in the coordinate plane is referred by a point (x, y), where the x value is the position of the point with reference to the x-axis, and the y value is the position of the point with reference to the y-axis. The x and y coordinates of a point have positive or negative values, based on the location of the point in the different quadrants.
so know that we know that the point (1,2) is the same as saying (x,y)
so now we just substitute both of the equation with the x and y values
x = 1
y = 2
y = -2x + 4, changes to 2 = -2(1) + 4
and
7x - 2y = 3, changes to 7(1) - 2(2) = 3
now lets solve them
Let's solve the first equation
2=(−2)(1)+4
Step 1: Multiply -2 by 1
2 = -2 + 4
Step 2: Add 4 to -2
2 = 2
Since 2 = 2, we know that (1,2) is true for this equation
Now lets solve the other, to see if it's true too
7(1) - 2(2) = 3
Step 1: Multiply 7 times 1, and -2 times 2
7 - 4 = 3
Step 2: Subtract
3 = 3
We know that (1,2) is true for this equation too
If you want to solve by substitution or elimination, you can do that too
So the answers are A, B, and C or option 1, 2, 3
