Answer:
He bought 6 chairs and 10 tables.
Step-by-step explanation:
x+y = 16
he spent = $1800
1 chair = $50
y chairs = $50y
1 table = $150
x chairs = $150x
so, 150x+50y = 1800
we got two equations :
x+ y = 16
150x+50y = 1800
Using. substitution method,
x+y = 16
so, x = 16-y
Now
150x+50y =1800
or, 150(16-y) + 50y = 1800
or, 2400-150y+50y = 1800
or, 2400-1800 = 150y-50y
or, 600=100y
so, y = 6
now,
x+y = 16
or, x + 6 = 16
so, x = 10
Answer:
x = 5
x = 0
Pulling out like terms :
2.1 Pull out like factors :
x2 - 5x = x • (x - 5)
Equation at the end of step 2 :
x • (x - 5) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation
Answer:
Step-by-step explanation:
y
=
x
2
+
91
Explanation:
Let the number be x
, then Square of the number is x
^2
91 more than the square of a number" will be x^
2 + 91
So, we can write it as an algebraic expression with two variables as :
y
=
x
^2 + 91
Step-by-step explanation:
x^2 = 16
x = ±4
x^2 = -16
x = -
as a negative number cannot be squareroot
