( – 1, – 5) 7x+2y=13, 4x+4y=14
1 answer:
Answer:
{x,y} = {6/5,23/10}
Step-by-step explanation:
[1] 7x + 2y = 13
[2] 4x + 4y = 14 <---------- linear equations given
Graphic Representation of the Equations : PICTURE
2y + 7x = 13 4y + 4x = 14
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 4y = -4x + 14
[2] y = -x + 7/2
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
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Answer:
1. >; 2. >
Step-by-step explanation:
1.
⅜ (?) 0.295 Convert ⅜ to a decimal fraction
0.375 (?) 0.295
We can use a <em>number line</em> to decide which number is greater.
In Fig. 1 below, when we go from 0.295 to 0.375, we are moving to the <em>RIGHT</em>, so 0.375 is greater than 0.295.
0.375 > 0.295
2.
-0.770 (?) -4/5 Convert ⅘ to a decimal fraction
-0.770 (?) -0.800
In Fig. 2 below, when we go from -0.80 to -0.77, we are moving to the <em>RIGHT</em>, so -0.770 is greater than -0.800.
-0.770 > -0.800
Sorry this just got deleted :( ill post it again
= 7
I'm sorry I'm bad at explaining how i solved it
= 7
I'm sorry I'm bad at explaining how i solved it
Answer:
x = 12 or
Step-by-step explanation:
Find the length of x for one side of the triangle first. To do this, use the Pythagorean Theorem which states: a² + b² = c² or in this case c² - a² = b². c² is 45 and a² is 3*3 or 9. Subtract 45-9 to get 36. Find the square root of 36 to get 6. The opposite side is also going to have a missing side length of 6 so add 6+6 to get 12 as x.
Hope it helps!