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Equation 1) 4x = y - 1
Equation 2) 6x - 2y = -3
We want both equations to match in a sense where both x & y are on the same side of the equal sign. To achieve this, simply subtract y from both sides in equation 1.
This will leave us with : 4x - y = -1
Now, line up the equations with one another.
1) 4x - y = -1
2) 6x - 2y = -3
Now, multiply 2 to ALL of equation 1.
2(4x - y = -1)
Simplify.
8x - 2y = -2 → We'll call this new equation 3. Now, line up equation 3 with equation 2.
6x - 2y = -38x - 2y = -2
Subtract equations from one another.
-2x = -1
Divide both sides by -2.
-2x ÷ -2 = -1 ÷ -2
Simplify.
x = 1/2
Now, plug in 1/2 for x into our first equation.
4x - y = -14(1/2) - y = -1
Simplify.
2 - y = -1
Subtract 2 from both sides.
-y = -1 - 2
Simplify.
-y = -3
Divide both sides by -1.
y = 3
So, our answer is : x = 1/2, y = 3 OR (1/2, 3)
~Hope I helped!~
Answer: cost of 1 pot of ivy = $12
Cost of 1 rose bush =$ 10
Step-by-step explanation:
Step 1
Let rose bushes be represented as r
and pot of ivy be represented as p
such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as
7 r + p = 82----- eqn 1
Rob who spent 74 on 5 rose bushes and 2 pots of ivy can be expressed as
5r +2 p = 74----- eqn 2
Step 2
Solving
7 r + p = 82----- eqn 1
5r +2 p = 74----- eqn 2
By elimination method Multiply eqn 1 by 5 and eqn 2 by 7
35r+ 5p= 410--- eqn 3
35r+ 14p =518--- eqn 4
Subtracting eqn 4 from eqn 3
9p = 108
p = 108/9
p=12
p = pot of ivy = $12
therefore rose bush wll be ( from equation 1)
7r+ p= 82
7r=82-12
7r= 70 r= 70/7
r= rose bush =$ 10
The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
After using the properties of integer exponent:
= g . 6² . p⁴
Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
Learn more about the integer exponent here:
brainly.com/question/4533599
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Answer:
mb bn nn b
Step-by-step explanation:
bn nm m n bn
Answer:
160cm^2
The area of the rectangle minus the area of the right angled triangle (20×10-8×10÷2)
