Respuesta :
Answer:
x = 1.6 , y = -1.6 or your Answer (1.6, –1.6)
Step-by-step explanation:
Substitute y = 1.5 x - 4 into the second equation:
{y = 1.5 x - 4
1.5 x - 4 = -x
In the second equation, look to solve for x:
{y = 1.5 x - 4
{1.5 x - 4 = -x
1.5 x - 4 = (3 x)/2 - 4:
{(3 x)/2 - 4 = -x
Add x + 4 to both sides:
{y = 1.5 x - 4
{(5 x)/2 = 4
Multiply both sides by 2/5:
{y = 1.5 x - 4
{x = 8/5
Substitute x = 8/5 into the first equation:
{y = -1.6
{x = 8/5
Collect results in alphabetical order:
Answer: {x = 8/5 , y = -1.6
The solution to the given system of linear equation is (1.6, -1.6).
The system of linear equations
The given system of linear equations is; y = 1.5x - 4 and y = -x
y = 1.5x - 4 ---- (1)
y = - x ---------- (2)
Substitute (2) into (1)
-x = 1.5x - 4
Subtract 1.5x from both sides;
-x - 1.5x = -4
-2.5x = -4
Divide both sides by -2.5
[tex]x = \frac{-4}{-2.5} \\\\x = 1.6[/tex]
Solve for y;
y = -x
y = -1.6
Thus, the solution to the given system of linear equation is (1.6, -1.6).
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