A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
y = -6x + 2 and -12x - 2y = -4, how many solutions does this linear system have?
Solution:
Given, equations are
y= -6x + 2 --- (1)
-12x - 2y = -4 --- (2)
Substituting the value of y in (2)
-12x - 2(-6x + 2) = -4
-12x + 12x - 4 = -4
- 4 = -4
Therefore, there will be infinitely many solutions.
Example:
How many solutions does this linear system have? y = x + 2 and 6x - 4y = -10
Solution:
Given, y = x + 2 --- (1)
6x - 4y = -10 --- (2)
Substituting (1) in (2)
6x - 4(x + 2) = -10
6x - 4x - 8 = -10
Grouping of common terms,
6x - 4x = -10 + 8
2x = -2
x = -1
Put the value of x = -1 in (1)
y = -1 + 2
y = 1
Therefore, the solution is x = -1 and y = 1.
y = -6x + 2 and -12x - 2y = -4, how many solutions does this linear system have?
Summary:
The linear system of equations y = -6x + 2 and -12x - 2y = -4 has infinitely many solutions.
Math worksheets and
visual curriculum
visual curriculum