Nextlevel3
27.06.2019 •
Mathematics
How many solutions does this system have! y = 3x + 5 y = -x + 4 a. one b. two c. infinite number d. no solution
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Ответ:
x=-14y=174
y=3x+5,y=-x+4
3x+5=-x+4
There are infinite number of solutions!
Move all terms containing
x
x to the left side of the equation.
Tap for more steps...
4
x
+
5
=
4
4x+5=4
y
=
−
x
+
4
y=-x+4
Move all terms not containing
x
x to the right side of the equation.
Tap for more steps...
4
x
=
−
1
4x=-1
y
=
−
x
+
4
y=-x+4
Divide each term by
4
4 and simplify.
Tap for more steps...
x
=
−
1
4
x=-14
y
=
−
x
+
4
y=-x+4
Replace all occurrences of
x
x with the solution found by solving the last equation for
x
x. In this case, the value substituted is
−
1
4
-14.
x
=
−
1
4
x=-14
y
=
−
(
−
1
4
)
+
4
y=-(-14)+4
Simplify the right side.
Tap for more steps...
x
=
−
1
4
x=-14
y
=
17
4
y=174
The solution can be shown in both point and equation forms.
Point Form:
(
−
1
4
,
17
4
)
(-14,174)
Equation Form:
x
=
−
1
4
y
=
17
4
x=-14y=174
Ответ:
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Step-by-step explanation:
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