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Sheldon Lambert
Mathematics
7 August, 08:45
Y = - 4x + 1 y = - 2x - 3
+2
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1
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Raven Moore
7 August, 08:48
0
x = 2, y = - 7
Step-by-step explanation:
Solve the following system:
{y = 1 - 4 x | (equation 1)
{y = - 2 x - 3 | (equation 2)
Express the system in standard form:
{4 x + y = 1 | (equation 1)
{2 x + y = - 3 | (equation 2)
Subtract 1/2 * (equation 1) from equation 2:
{4 x + y = 1 | (equation 1)
{0 x+y/2 = - 7/2 | (equation 2)
Multiply equation 2 by 2:
{4 x + y = 1 | (equation 1)
{0 x+y = - 7 | (equation 2)
Subtract equation 2 from equation 1:
{4 x+0 y = 8 | (equation 1)
{0 x+y = - 7 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 2 | (equation 1)
{0 x+y = - 7 | (equation 2)
Collect results:
Answer: {x = 2, y = - 7
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