Mathematics
Grade-8
Easy
Question
How many solutions are there when the graphs of linear equations in two variables are parallel?
- One solution
- Unique solutions
- No solution
- Infinite solutions
Hint:
Number of solutions is same as how many common points they have .
The correct answer is: No solution
If two lines are parallel they are never going to meet they have no common point , so there exists no point
Which can satisfy both the equations at same time .
So , they have no common solution .
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![3 x plus 4 y equals 2
6 y plus 8 y equals 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAnCAYAAACR3W+uAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAARqpSybAAAA4tJREFUeNrtWuGHVFEUv1ZGksjKyn5YxspaGZEka61lJclay8pKkiVZyfwD6UMiyUj6ktWHZEWykoxIxlrJMNZaWYn0Ien7WGOMqHOa39udfd333r3vvjvvDffHj5n77pt73nnn3nvm/o4QbUwSy8QGsUn8SnxI7BfZwgXinxTHHyO+ItaJLeIG8ZKsY4U4S8x1tJ0gvsuQMw8St1J26CpxHrYwRokf0aaEuiXD4jjlCXEhZYfKMETcVOmYJ36RtPND3ZO038E1Gw7lqfYh5N6nxIuS9iLxbhec2gy7OEC8inX0fECfdfTzwP0fW4rQHCJgKOTeK8T7vrYDeIb+gPGjqIozmPaRgxRDfuQcsYTPUx3RY8OhPBtuRNzLL/6lr+028ZblyNxPrGIGBeIwcQYdJ0L6vcf1DYVsIG5EFCRvX9aXx//c8f0I8Rse2BbYT6+JZ3V21WrI9SJSh4LFTYnHH1a8t9HxuRQxw0ynfB7OHE5qsfXysZJOyhDDoToPvYYHzSM6+yxF5ghxCWu0FgpY1GVv5w1+kKO4FuMPgEnqE3TvM+I0cZl42ZIzB7BW71NJWOfQsQ//nL5j9xS+tanscyD/e3meAYcWkT5tCnt4iwiNxDg6N8EKHOVPX1aIg5L7X2Dn7waCHDqDa9OWxzZNs3oG7MhPwiExlJFkOySA41iyHBwcHBwcHBwcHBwckscp0T6eYrWTD0n4mG4iJVv4ePARcRu2sKQ9mBE/KdUHXIMDj+H7IdEW8ddSMpqP4lix5CNFPulibamaAWcq1QewYF/rgjE6x1x+tYDPaVsZcKhSfQB3mleMGhP9W8eh22K3QsNz6I+E7dFFVH3ADrig4ajCD+rq3yYO5fXzZsd3Ppp7YGiPiTinUh+wZ3rx2skn8g1MrZr4vxDKVP/WcWgBdjBZovkl2spCkvboQKU+YM/FdRjo6UpjeNOLHf109e+4EcFRsIxZ4xWwncRYBQN74kK1PmAH9YCUhCvwfvradPTvuBG6IuR6P4uHFQN74r5gnfqAfyiLYB3bv7Oa6N+qDm1qXOuGHq/9EhYDdssRSe5non+rOnRLyKsyRrGWJmWPtRQwh4V/QeyK+Kexq01JUpK4+reqQ2fh1ElEnFcrwBF4PUF7rObUvKAvIf/7DQePS/p1Q/9mzGGjbGGar2LstOwxyVhCkTX9u+f1+Kzp3z2tx2dN/86cHv8XP5YvbM+nMGAAAADodEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjM8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjQ8L21uPjxtaT55PC9taT48bW8+PTwvbW8+PG1uPjI8L21uPjxtc3BhY2UgbGluZWJyZWFrPSJuZXdsaW5lIi8+PG1uPjY8L21uPjxtaT55PC9taT48bW8+KzwvbW8+PG1uPjg8L21uPjxtaT55PC9taT48bW8+PTwvbW8+PG1uPjQ8L21uPjwvbWF0aD7BaFlJAAAAAElFTkSuQmCC)
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![3 x plus 4 y equals 2
6 y plus 8 y equals 4](data:image/png;base64,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)
MathematicsGrade-8
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What is the name of lines when the following equations are drawn on a graph?
![space 4 space x minus 6 space y equals 15
space space 2 space x minus 3 space y equals 5](data:image/png;base64,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)
What is the name of lines when the following equations are drawn on a graph?
![space 4 space x minus 6 space y equals 15
space space 2 space x minus 3 space y equals 5](data:image/png;base64,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)
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