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Mathematics
Colt Buchanan
9 September, 11:18
Solve the system of equations
y = 4x+1
y=2+2x-2
+4
Answers (
1
)
Jaime
9 September, 13:49
0
x = - 1/2, y = - 1
Step-by-step explanation:
Solve the following system:
{y = 4 x + 1 | (equation 1)
{y = 2 x | (equation 2)
Express the system in standard form:
{ - (4 x) + y = 1 | (equation 1)
{ - (2 x) + y = 0 | (equation 2)
Subtract 1/2 * (equation 1) from equation 2:
{ - (4 x) + y = 1 | (equation 1)
{0 x+y/2 = (-1) / 2 | (equation 2)
Multiply equation 2 by 2:
{ - (4 x) + y = 1 | (equation 1)
{0 x+y = - 1 | (equation 2)
Subtract equation 2 from equation 1:
{ - (4 x) + 0 y = 2 | (equation 1)
{0 x+y = - 1 | (equation 2)
Divide equation 1 by - 4:
{x+0 y = (-1) / 2 | (equation 1)
{0 x+y = - 1 | (equation 2)
Collect results:
Answer: {x = - 1/2, y = - 1
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