Given <em>YA</em> = <em>B</em>, you can solve for <em>Y</em> by multiplying by <em>A </em>⁻¹ on the right (on both sides of the equation). So we have
<em>YA</em> = <em>B</em> ==> (<em>YA</em>) <em>A </em>⁻¹ = <em>BA </em>⁻¹ ==> <em>Y</em> (<em>AA </em>⁻¹) = <em>BA </em>⁻¹ ==> <em>Y</em> = <em>BA </em>⁻¹
provided that the inverse of <em>A</em> exists. In this case, det(<em>A</em>) = 5 ≠ 0, so the inverse does exist, and
Then
The cost of one ruler is $0.70
<h3>Applications of simultaneous equations </h3>
From the question, we are to determine the cost of one ruler
Let x represent the cost of a ruler
and
y represent the cost of a pen
From the given information, we can write that
y + x = $2.10 ----------- (1)
2y + 3x = $4.90 ----- (2)
From equation (1),
y + x = $2.10
Then,
y = $2.10 - x
Substitute this into equation (2)
2y + 3x = $4.90
2($2.10 - x) + 3x = $4.90
$4.20 - 2x + 3x = $4.90
$4.20 +x = $4.90
x = $4.90 - $4.20
x = $0.70
Hence, the cost of one ruler is $0.70
Learn more on Simultaneous equations here: brainly.com/question/26310043
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Answer:
D) x - 7 + 3
Step-by-step explanation:
gave sister = subtract
aunt gave = addition
Equation:
x - 7 + 3
Answer:
red segment = 25.12 ft
Step-by-step explanation:
circumference of full circle = (3.14)(24) = 75.36 ft
semi circle = 75.36/2 = 37.68 ft
60° segment = (60/360)(75.36) = 12.56 ft
red segment = 37.68 - 12.56 = 25.12 ft
Equation Form:
w x 2 
19
Divide both sides by 2:
w 9.5
So, w must be equal to or greater than 9.5 for this equation to work.
