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son4ous [18]
4 years ago
13

How many solutions does the system of equations have?

Mathematics
1 answer:
statuscvo [17]4 years ago
5 0
5x - 20y = 60...reduce by dividing by 5
x - 4y = 12
this is the same as the other equation....therefore, it is the same line...meaning infinite solutions
=============
y - 7x = -14
y = 7x - 14.....slope = 7, y int = -14

7y - 49x = -2
7y = 49x - 2
y = 7x - 2/7.....slope is 7, y int is -2/7

if the slopes are the same, but the y int are different, then u have a parallel lines with no solutions
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<h2>1. (52 - 2) (1 + 1) = 100</h2><h2>2. (12 - 2) (9 + 1) = 100</h2><h2>3. (6 - 2) (24 + 1) = 100</h2><h2>4. (3 - 2) (99 + 1) = 100</h2><h2>5. (102 - 2) (0 + 1) = 100</h2>

Step-by-step explanation:

<h3>1. let r= 52 and s= 1</h3><h3>(52 - 2) (1 + 1) = 100</h3><h3>50 × 2 = 100</h3><h3 /><h3>2. let r= 12 and s= 9</h3><h3>(12 - 2) (9 + 1) = 100</h3><h3>10 × 10 = 100</h3><h3 /><h3>3. let r= 6 and s= 24</h3><h3>(6 - 2) (24 + 1) = 100</h3><h3>4 × 25 = 100</h3><h3 /><h3>4. let r= 3 and s= 99</h3><h3>(3 - 2) (99 + 1) = 100</h3><h3>1 × 100 = 100</h3><h3 /><h3>5. let r= 102 and s= 0</h3><h3>(102 - 2) (0 + 1) = 100</h3><h3>100 × 1 = 100</h3>

\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}

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