Hello and Good Morning/Afternoon
<u>Let's take this problem step-by-step</u>:
<u>To find the solution to a system of equation</u>
⇒ <em>must set</em> the equations equal to each other
⇒ and solve
<u>Let's put that into action</u>
- At this point, to make the whole thing equal zero
⇒ either 'x+3' or 'x-3' equals zero
⇒ must find 'x' that satisify either equation
<u>Let's find the corresponding f(x) to each x-value</u>
<u>Therefore the solutions are (3,6) and (-3,18)</u>
<u />
<u>Answer: (3,6), (-3,18)</u>
<u></u>
Hope that helps!
#LearnwithBrainly
Let AB extended intersect DC extended at point E
<span>We now have right triangle BEC with E = 90 degrees </span>
<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>
<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
Answer:
Step-by-step explanation:
Answer:1
Step-by-step explanation:
I'm not sure if it only wants you to find Equation 1 or go further and solve:
x = the number of 5c coins
y = the number of 10c coins
Equation 1: the total number of coins is 65
x + y = 65
total value of $3.80
0.05x + 0.1y = 3.8
<u>Simultaneous Equations</u>
Make one coefficient the same
10 * (0.05x + 0.1y = 3.80 = 0.5x + y = 38
x + y = 65
0.5x + y = 38
Subtract the equations
(x + y) - (0.5x + y)= 65 - 38
(x - 0.5x) + (y - y) = 65 - 38
0.5x = 27
x = 54
Substitute it into the original equation to find y.
x + y = 65
54 + y = 56
y = 65 - 54 = 11
Substitute it into the other equation to check it's right.
0.05x + 0.1y = 3.8
0.05(54) + 0.1(65) = 3.8
x = 54 5c coins
y = 11 10c coins
